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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 = 22 3x = 22 Divide each side by '3'. x = 7.333333333 Simplifying x = 7.333333333
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