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Simplifying -4x + 6(4 + -2x) = 2(x + -7) + 2 -4x + (4 * 6 + -2x * 6) = 2(x + -7) + 2 -4x + (24 + -12x) = 2(x + -7) + 2 Reorder the terms: 24 + -4x + -12x = 2(x + -7) + 2 Combine like terms: -4x + -12x = -16x 24 + -16x = 2(x + -7) + 2 Reorder the terms: 24 + -16x = 2(-7 + x) + 2 24 + -16x = (-7 * 2 + x * 2) + 2 24 + -16x = (-14 + 2x) + 2 Reorder the terms: 24 + -16x = -14 + 2 + 2x Combine like terms: -14 + 2 = -12 24 + -16x = -12 + 2x Solving 24 + -16x = -12 + 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. 24 + -16x + -2x = -12 + 2x + -2x Combine like terms: -16x + -2x = -18x 24 + -18x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + -18x = -12 + 0 24 + -18x = -12 Add '-24' to each side of the equation. 24 + -24 + -18x = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -18x = -12 + -24 -18x = -12 + -24 Combine like terms: -12 + -24 = -36 -18x = -36 Divide each side by '-18'. x = 2 Simplifying x = 2
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