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Simplifying 2(x + -3) + -3(2 + -1x) = 5(x + 1) + -2(2x + -1) Reorder the terms: 2(-3 + x) + -3(2 + -1x) = 5(x + 1) + -2(2x + -1) (-3 * 2 + x * 2) + -3(2 + -1x) = 5(x + 1) + -2(2x + -1) (-6 + 2x) + -3(2 + -1x) = 5(x + 1) + -2(2x + -1) -6 + 2x + (2 * -3 + -1x * -3) = 5(x + 1) + -2(2x + -1) -6 + 2x + (-6 + 3x) = 5(x + 1) + -2(2x + -1) Reorder the terms: -6 + -6 + 2x + 3x = 5(x + 1) + -2(2x + -1) Combine like terms: -6 + -6 = -12 -12 + 2x + 3x = 5(x + 1) + -2(2x + -1) Combine like terms: 2x + 3x = 5x -12 + 5x = 5(x + 1) + -2(2x + -1) Reorder the terms: -12 + 5x = 5(1 + x) + -2(2x + -1) -12 + 5x = (1 * 5 + x * 5) + -2(2x + -1) -12 + 5x = (5 + 5x) + -2(2x + -1) Reorder the terms: -12 + 5x = 5 + 5x + -2(-1 + 2x) -12 + 5x = 5 + 5x + (-1 * -2 + 2x * -2) -12 + 5x = 5 + 5x + (2 + -4x) Reorder the terms: -12 + 5x = 5 + 2 + 5x + -4x Combine like terms: 5 + 2 = 7 -12 + 5x = 7 + 5x + -4x Combine like terms: 5x + -4x = 1x -12 + 5x = 7 + 1x Solving -12 + 5x = 7 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + 5x + -1x = 7 + 1x + -1x Combine like terms: 5x + -1x = 4x -12 + 4x = 7 + 1x + -1x Combine like terms: 1x + -1x = 0 -12 + 4x = 7 + 0 -12 + 4x = 7 Add '12' to each side of the equation. -12 + 12 + 4x = 7 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 7 + 12 4x = 7 + 12 Combine like terms: 7 + 12 = 19 4x = 19 Divide each side by '4'. x = 4.75 Simplifying x = 4.75
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