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Simplifying 2(x + -6) = 7(x + 4) Reorder the terms: 2(-6 + x) = 7(x + 4) (-6 * 2 + x * 2) = 7(x + 4) (-12 + 2x) = 7(x + 4) Reorder the terms: -12 + 2x = 7(4 + x) -12 + 2x = (4 * 7 + x * 7) -12 + 2x = (28 + 7x) Solving -12 + 2x = 28 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12 + 2x + -7x = 28 + 7x + -7x Combine like terms: 2x + -7x = -5x -12 + -5x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + -5x = 28 + 0 -12 + -5x = 28 Add '12' to each side of the equation. -12 + 12 + -5x = 28 + 12 Combine like terms: -12 + 12 = 0 0 + -5x = 28 + 12 -5x = 28 + 12 Combine like terms: 28 + 12 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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