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