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Simplifying -4(3x + -6) + -1(-4x + 6) = 2x + 8 Reorder the terms: -4(-6 + 3x) + -1(-4x + 6) = 2x + 8 (-6 * -4 + 3x * -4) + -1(-4x + 6) = 2x + 8 (24 + -12x) + -1(-4x + 6) = 2x + 8 Reorder the terms: 24 + -12x + -1(6 + -4x) = 2x + 8 24 + -12x + (6 * -1 + -4x * -1) = 2x + 8 24 + -12x + (-6 + 4x) = 2x + 8 Reorder the terms: 24 + -6 + -12x + 4x = 2x + 8 Combine like terms: 24 + -6 = 18 18 + -12x + 4x = 2x + 8 Combine like terms: -12x + 4x = -8x 18 + -8x = 2x + 8 Reorder the terms: 18 + -8x = 8 + 2x Solving 18 + -8x = 8 + 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. 18 + -8x + -2x = 8 + 2x + -2x Combine like terms: -8x + -2x = -10x 18 + -10x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + -10x = 8 + 0 18 + -10x = 8 Add '-18' to each side of the equation. 18 + -18 + -10x = 8 + -18 Combine like terms: 18 + -18 = 0 0 + -10x = 8 + -18 -10x = 8 + -18 Combine like terms: 8 + -18 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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