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Simplifying -5(x + 2) + 3x = -1(x + -3) + 2x Reorder the terms: -5(2 + x) + 3x = -1(x + -3) + 2x (2 * -5 + x * -5) + 3x = -1(x + -3) + 2x (-10 + -5x) + 3x = -1(x + -3) + 2x Combine like terms: -5x + 3x = -2x -10 + -2x = -1(x + -3) + 2x Reorder the terms: -10 + -2x = -1(-3 + x) + 2x -10 + -2x = (-3 * -1 + x * -1) + 2x -10 + -2x = (3 + -1x) + 2x Combine like terms: -1x + 2x = 1x -10 + -2x = 3 + 1x Solving -10 + -2x = 3 + 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. -10 + -2x + -1x = 3 + 1x + -1x Combine like terms: -2x + -1x = -3x -10 + -3x = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 -10 + -3x = 3 + 0 -10 + -3x = 3 Add '10' to each side of the equation. -10 + 10 + -3x = 3 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = 3 + 10 -3x = 3 + 10 Combine like terms: 3 + 10 = 13 -3x = 13 Divide each side by '-3'. x = -4.333333333 Simplifying x = -4.333333333
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