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Simplifying 2x + -3(x + -6) = -4(x + -1) Reorder the terms: 2x + -3(-6 + x) = -4(x + -1) 2x + (-6 * -3 + x * -3) = -4(x + -1) 2x + (18 + -3x) = -4(x + -1) Reorder the terms: 18 + 2x + -3x = -4(x + -1) Combine like terms: 2x + -3x = -1x 18 + -1x = -4(x + -1) Reorder the terms: 18 + -1x = -4(-1 + x) 18 + -1x = (-1 * -4 + x * -4) 18 + -1x = (4 + -4x) Solving 18 + -1x = 4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 18 + -1x + 4x = 4 + -4x + 4x Combine like terms: -1x + 4x = 3x 18 + 3x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 18 + 3x = 4 + 0 18 + 3x = 4 Add '-18' to each side of the equation. 18 + -18 + 3x = 4 + -18 Combine like terms: 18 + -18 = 0 0 + 3x = 4 + -18 3x = 4 + -18 Combine like terms: 4 + -18 = -14 3x = -14 Divide each side by '3'. x = -4.666666667 Simplifying x = -4.666666667
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