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Simplifying 5(x + -2) + -4x = 2(x + -6) + 2 Reorder the terms: 5(-2 + x) + -4x = 2(x + -6) + 2 (-2 * 5 + x * 5) + -4x = 2(x + -6) + 2 (-10 + 5x) + -4x = 2(x + -6) + 2 Combine like terms: 5x + -4x = 1x -10 + 1x = 2(x + -6) + 2 Reorder the terms: -10 + 1x = 2(-6 + x) + 2 -10 + 1x = (-6 * 2 + x * 2) + 2 -10 + 1x = (-12 + 2x) + 2 Reorder the terms: -10 + 1x = -12 + 2 + 2x Combine like terms: -12 + 2 = -10 -10 + 1x = -10 + 2x Add '10' to each side of the equation. -10 + 10 + 1x = -10 + 10 + 2x Combine like terms: -10 + 10 = 0 0 + 1x = -10 + 10 + 2x 1x = -10 + 10 + 2x Combine like terms: -10 + 10 = 0 1x = 0 + 2x 1x = 2x Solving 1x = 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. 1x + -2x = 2x + -2x Combine like terms: 1x + -2x = -1x -1x = 2x + -2x Combine like terms: 2x + -2x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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