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Simplifying 6x + -1(31x + -18) = 12(x + -1) + 3x Reorder the terms: 6x + -1(-18 + 31x) = 12(x + -1) + 3x 6x + (-18 * -1 + 31x * -1) = 12(x + -1) + 3x 6x + (18 + -31x) = 12(x + -1) + 3x Reorder the terms: 18 + 6x + -31x = 12(x + -1) + 3x Combine like terms: 6x + -31x = -25x 18 + -25x = 12(x + -1) + 3x Reorder the terms: 18 + -25x = 12(-1 + x) + 3x 18 + -25x = (-1 * 12 + x * 12) + 3x 18 + -25x = (-12 + 12x) + 3x Combine like terms: 12x + 3x = 15x 18 + -25x = -12 + 15x Solving 18 + -25x = -12 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 18 + -25x + -15x = -12 + 15x + -15x Combine like terms: -25x + -15x = -40x 18 + -40x = -12 + 15x + -15x Combine like terms: 15x + -15x = 0 18 + -40x = -12 + 0 18 + -40x = -12 Add '-18' to each side of the equation. 18 + -18 + -40x = -12 + -18 Combine like terms: 18 + -18 = 0 0 + -40x = -12 + -18 -40x = -12 + -18 Combine like terms: -12 + -18 = -30 -40x = -30 Divide each side by '-40'. x = 0.75 Simplifying x = 0.75
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