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Simplifying 3(2x + -5) + -5(x + 2) = 2(x + -12) Reorder the terms: 3(-5 + 2x) + -5(x + 2) = 2(x + -12) (-5 * 3 + 2x * 3) + -5(x + 2) = 2(x + -12) (-15 + 6x) + -5(x + 2) = 2(x + -12) Reorder the terms: -15 + 6x + -5(2 + x) = 2(x + -12) -15 + 6x + (2 * -5 + x * -5) = 2(x + -12) -15 + 6x + (-10 + -5x) = 2(x + -12) Reorder the terms: -15 + -10 + 6x + -5x = 2(x + -12) Combine like terms: -15 + -10 = -25 -25 + 6x + -5x = 2(x + -12) Combine like terms: 6x + -5x = 1x -25 + 1x = 2(x + -12) Reorder the terms: -25 + 1x = 2(-12 + x) -25 + 1x = (-12 * 2 + x * 2) -25 + 1x = (-24 + 2x) Solving -25 + 1x = -24 + 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. -25 + 1x + -2x = -24 + 2x + -2x Combine like terms: 1x + -2x = -1x -25 + -1x = -24 + 2x + -2x Combine like terms: 2x + -2x = 0 -25 + -1x = -24 + 0 -25 + -1x = -24 Add '25' to each side of the equation. -25 + 25 + -1x = -24 + 25 Combine like terms: -25 + 25 = 0 0 + -1x = -24 + 25 -1x = -24 + 25 Combine like terms: -24 + 25 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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