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Simplifying 5x + 6(x + -2) = 3(x + -6) + -6 + 2x Reorder the terms: 5x + 6(-2 + x) = 3(x + -6) + -6 + 2x 5x + (-2 * 6 + x * 6) = 3(x + -6) + -6 + 2x 5x + (-12 + 6x) = 3(x + -6) + -6 + 2x Reorder the terms: -12 + 5x + 6x = 3(x + -6) + -6 + 2x Combine like terms: 5x + 6x = 11x -12 + 11x = 3(x + -6) + -6 + 2x Reorder the terms: -12 + 11x = 3(-6 + x) + -6 + 2x -12 + 11x = (-6 * 3 + x * 3) + -6 + 2x -12 + 11x = (-18 + 3x) + -6 + 2x Reorder the terms: -12 + 11x = -18 + -6 + 3x + 2x Combine like terms: -18 + -6 = -24 -12 + 11x = -24 + 3x + 2x Combine like terms: 3x + 2x = 5x -12 + 11x = -24 + 5x Solving -12 + 11x = -24 + 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 + 11x + -5x = -24 + 5x + -5x Combine like terms: 11x + -5x = 6x -12 + 6x = -24 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 6x = -24 + 0 -12 + 6x = -24 Add '12' to each side of the equation. -12 + 12 + 6x = -24 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = -24 + 12 6x = -24 + 12 Combine like terms: -24 + 12 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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