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Simplifying 3(x + -5) + -16 = 2(x + -8) + 2 Reorder the terms: 3(-5 + x) + -16 = 2(x + -8) + 2 (-5 * 3 + x * 3) + -16 = 2(x + -8) + 2 (-15 + 3x) + -16 = 2(x + -8) + 2 Reorder the terms: -15 + -16 + 3x = 2(x + -8) + 2 Combine like terms: -15 + -16 = -31 -31 + 3x = 2(x + -8) + 2 Reorder the terms: -31 + 3x = 2(-8 + x) + 2 -31 + 3x = (-8 * 2 + x * 2) + 2 -31 + 3x = (-16 + 2x) + 2 Reorder the terms: -31 + 3x = -16 + 2 + 2x Combine like terms: -16 + 2 = -14 -31 + 3x = -14 + 2x Solving -31 + 3x = -14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -31 + 3x + -2x = -14 + 2x + -2x Combine like terms: 3x + -2x = 1x -31 + 1x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -31 + 1x = -14 + 0 -31 + 1x = -14 Add '31' to each side of the equation. -31 + 31 + 1x = -14 + 31 Combine like terms: -31 + 31 = 0 0 + 1x = -14 + 31 1x = -14 + 31 Combine like terms: -14 + 31 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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