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Simplifying -2(x + 6) = 5(x + -3) Reorder the terms: -2(6 + x) = 5(x + -3) (6 * -2 + x * -2) = 5(x + -3) (-12 + -2x) = 5(x + -3) Reorder the terms: -12 + -2x = 5(-3 + x) -12 + -2x = (-3 * 5 + x * 5) -12 + -2x = (-15 + 5x) Solving -12 + -2x = -15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + -2x + -5x = -15 + 5x + -5x Combine like terms: -2x + -5x = -7x -12 + -7x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -7x = -15 + 0 -12 + -7x = -15 Add '12' to each side of the equation. -12 + 12 + -7x = -15 + 12 Combine like terms: -12 + 12 = 0 0 + -7x = -15 + 12 -7x = -15 + 12 Combine like terms: -15 + 12 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286
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