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Simplifying -2(-1x + 6) + 6 = 4(x + -6) + 6 Reorder the terms: -2(6 + -1x) + 6 = 4(x + -6) + 6 (6 * -2 + -1x * -2) + 6 = 4(x + -6) + 6 (-12 + 2x) + 6 = 4(x + -6) + 6 Reorder the terms: -12 + 6 + 2x = 4(x + -6) + 6 Combine like terms: -12 + 6 = -6 -6 + 2x = 4(x + -6) + 6 Reorder the terms: -6 + 2x = 4(-6 + x) + 6 -6 + 2x = (-6 * 4 + x * 4) + 6 -6 + 2x = (-24 + 4x) + 6 Reorder the terms: -6 + 2x = -24 + 6 + 4x Combine like terms: -24 + 6 = -18 -6 + 2x = -18 + 4x Solving -6 + 2x = -18 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 2x + -4x = -18 + 4x + -4x Combine like terms: 2x + -4x = -2x -6 + -2x = -18 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -2x = -18 + 0 -6 + -2x = -18 Add '6' to each side of the equation. -6 + 6 + -2x = -18 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -18 + 6 -2x = -18 + 6 Combine like terms: -18 + 6 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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