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Simplifying 3(x + -1) + x = 2(5x + 3) + -3(x + -5) Reorder the terms: 3(-1 + x) + x = 2(5x + 3) + -3(x + -5) (-1 * 3 + x * 3) + x = 2(5x + 3) + -3(x + -5) (-3 + 3x) + x = 2(5x + 3) + -3(x + -5) Combine like terms: 3x + x = 4x -3 + 4x = 2(5x + 3) + -3(x + -5) Reorder the terms: -3 + 4x = 2(3 + 5x) + -3(x + -5) -3 + 4x = (3 * 2 + 5x * 2) + -3(x + -5) -3 + 4x = (6 + 10x) + -3(x + -5) Reorder the terms: -3 + 4x = 6 + 10x + -3(-5 + x) -3 + 4x = 6 + 10x + (-5 * -3 + x * -3) -3 + 4x = 6 + 10x + (15 + -3x) Reorder the terms: -3 + 4x = 6 + 15 + 10x + -3x Combine like terms: 6 + 15 = 21 -3 + 4x = 21 + 10x + -3x Combine like terms: 10x + -3x = 7x -3 + 4x = 21 + 7x Solving -3 + 4x = 21 + 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. -3 + 4x + -7x = 21 + 7x + -7x Combine like terms: 4x + -7x = -3x -3 + -3x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + -3x = 21 + 0 -3 + -3x = 21 Add '3' to each side of the equation. -3 + 3 + -3x = 21 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = 21 + 3 -3x = 21 + 3 Combine like terms: 21 + 3 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8
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