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Simplifying 4 + -4(3x + -1) = 8x + -2(7 + x) Reorder the terms: 4 + -4(-1 + 3x) = 8x + -2(7 + x) 4 + (-1 * -4 + 3x * -4) = 8x + -2(7 + x) 4 + (4 + -12x) = 8x + -2(7 + x) Combine like terms: 4 + 4 = 8 8 + -12x = 8x + -2(7 + x) 8 + -12x = 8x + (7 * -2 + x * -2) 8 + -12x = 8x + (-14 + -2x) Reorder the terms: 8 + -12x = -14 + 8x + -2x Combine like terms: 8x + -2x = 6x 8 + -12x = -14 + 6x Solving 8 + -12x = -14 + 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. 8 + -12x + -6x = -14 + 6x + -6x Combine like terms: -12x + -6x = -18x 8 + -18x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -18x = -14 + 0 8 + -18x = -14 Add '-8' to each side of the equation. 8 + -8 + -18x = -14 + -8 Combine like terms: 8 + -8 = 0 0 + -18x = -14 + -8 -18x = -14 + -8 Combine like terms: -14 + -8 = -22 -18x = -22 Divide each side by '-18'. x = 1.222222222 Simplifying x = 1.222222222
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