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Simplifying 5(x + -3) + -1(2x + 3) + x + 3 = 4(x + -2) + -3(1 + -1x) + 5 Reorder the terms: 5(-3 + x) + -1(2x + 3) + x + 3 = 4(x + -2) + -3(1 + -1x) + 5 (-3 * 5 + x * 5) + -1(2x + 3) + x + 3 = 4(x + -2) + -3(1 + -1x) + 5 (-15 + 5x) + -1(2x + 3) + x + 3 = 4(x + -2) + -3(1 + -1x) + 5 Reorder the terms: -15 + 5x + -1(3 + 2x) + x + 3 = 4(x + -2) + -3(1 + -1x) + 5 -15 + 5x + (3 * -1 + 2x * -1) + x + 3 = 4(x + -2) + -3(1 + -1x) + 5 -15 + 5x + (-3 + -2x) + x + 3 = 4(x + -2) + -3(1 + -1x) + 5 Reorder the terms: -15 + -3 + 3 + 5x + -2x + x = 4(x + -2) + -3(1 + -1x) + 5 Combine like terms: -15 + -3 = -18 -18 + 3 + 5x + -2x + x = 4(x + -2) + -3(1 + -1x) + 5 Combine like terms: -18 + 3 = -15 -15 + 5x + -2x + x = 4(x + -2) + -3(1 + -1x) + 5 Combine like terms: 5x + -2x = 3x -15 + 3x + x = 4(x + -2) + -3(1 + -1x) + 5 Combine like terms: 3x + x = 4x -15 + 4x = 4(x + -2) + -3(1 + -1x) + 5 Reorder the terms: -15 + 4x = 4(-2 + x) + -3(1 + -1x) + 5 -15 + 4x = (-2 * 4 + x * 4) + -3(1 + -1x) + 5 -15 + 4x = (-8 + 4x) + -3(1 + -1x) + 5 -15 + 4x = -8 + 4x + (1 * -3 + -1x * -3) + 5 -15 + 4x = -8 + 4x + (-3 + 3x) + 5 Reorder the terms: -15 + 4x = -8 + -3 + 5 + 4x + 3x Combine like terms: -8 + -3 = -11 -15 + 4x = -11 + 5 + 4x + 3x Combine like terms: -11 + 5 = -6 -15 + 4x = -6 + 4x + 3x Combine like terms: 4x + 3x = 7x -15 + 4x = -6 + 7x Solving -15 + 4x = -6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -15 + 4x + -7x = -6 + 7x + -7x Combine like terms: 4x + -7x = -3x -15 + -3x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + -3x = -6 + 0 -15 + -3x = -6 Add '15' to each side of the equation. -15 + 15 + -3x = -6 + 15 Combine like terms: -15 + 15 = 0 0 + -3x = -6 + 15 -3x = -6 + 15 Combine like terms: -6 + 15 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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