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Simplifying 3(x + -12) = 2(x + -5) Reorder the terms: 3(-12 + x) = 2(x + -5) (-12 * 3 + x * 3) = 2(x + -5) (-36 + 3x) = 2(x + -5) Reorder the terms: -36 + 3x = 2(-5 + x) -36 + 3x = (-5 * 2 + x * 2) -36 + 3x = (-10 + 2x) Solving -36 + 3x = -10 + 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. -36 + 3x + -2x = -10 + 2x + -2x Combine like terms: 3x + -2x = 1x -36 + 1x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -36 + 1x = -10 + 0 -36 + 1x = -10 Add '36' to each side of the equation. -36 + 36 + 1x = -10 + 36 Combine like terms: -36 + 36 = 0 0 + 1x = -10 + 36 1x = -10 + 36 Combine like terms: -10 + 36 = 26 1x = 26 Divide each side by '1'. x = 26 Simplifying x = 26
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