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