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Simplifying -10x + -4(1 + 2x) = -12 + 8(-4x + -6) -10x + (1 * -4 + 2x * -4) = -12 + 8(-4x + -6) -10x + (-4 + -8x) = -12 + 8(-4x + -6) Reorder the terms: -4 + -10x + -8x = -12 + 8(-4x + -6) Combine like terms: -10x + -8x = -18x -4 + -18x = -12 + 8(-4x + -6) Reorder the terms: -4 + -18x = -12 + 8(-6 + -4x) -4 + -18x = -12 + (-6 * 8 + -4x * 8) -4 + -18x = -12 + (-48 + -32x) Combine like terms: -12 + -48 = -60 -4 + -18x = -60 + -32x Solving -4 + -18x = -60 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. -4 + -18x + 32x = -60 + -32x + 32x Combine like terms: -18x + 32x = 14x -4 + 14x = -60 + -32x + 32x Combine like terms: -32x + 32x = 0 -4 + 14x = -60 + 0 -4 + 14x = -60 Add '4' to each side of the equation. -4 + 4 + 14x = -60 + 4 Combine like terms: -4 + 4 = 0 0 + 14x = -60 + 4 14x = -60 + 4 Combine like terms: -60 + 4 = -56 14x = -56 Divide each side by '14'. x = -4 Simplifying x = -4
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