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Simplifying 2(4x + -3) + 10 = -6(-1x + 1) + -12 Reorder the terms: 2(-3 + 4x) + 10 = -6(-1x + 1) + -12 (-3 * 2 + 4x * 2) + 10 = -6(-1x + 1) + -12 (-6 + 8x) + 10 = -6(-1x + 1) + -12 Reorder the terms: -6 + 10 + 8x = -6(-1x + 1) + -12 Combine like terms: -6 + 10 = 4 4 + 8x = -6(-1x + 1) + -12 Reorder the terms: 4 + 8x = -6(1 + -1x) + -12 4 + 8x = (1 * -6 + -1x * -6) + -12 4 + 8x = (-6 + 6x) + -12 Reorder the terms: 4 + 8x = -6 + -12 + 6x Combine like terms: -6 + -12 = -18 4 + 8x = -18 + 6x Solving 4 + 8x = -18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 8x + -6x = -18 + 6x + -6x Combine like terms: 8x + -6x = 2x 4 + 2x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + 2x = -18 + 0 4 + 2x = -18 Add '-4' to each side of the equation. 4 + -4 + 2x = -18 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = -18 + -4 2x = -18 + -4 Combine like terms: -18 + -4 = -22 2x = -22 Divide each side by '2'. x = -11 Simplifying x = -11
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