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Simplifying 4(x + -1) = 6(3 + -2x) Reorder the terms: 4(-1 + x) = 6(3 + -2x) (-1 * 4 + x * 4) = 6(3 + -2x) (-4 + 4x) = 6(3 + -2x) -4 + 4x = (3 * 6 + -2x * 6) -4 + 4x = (18 + -12x) Solving -4 + 4x = 18 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -4 + 4x + 12x = 18 + -12x + 12x Combine like terms: 4x + 12x = 16x -4 + 16x = 18 + -12x + 12x Combine like terms: -12x + 12x = 0 -4 + 16x = 18 + 0 -4 + 16x = 18 Add '4' to each side of the equation. -4 + 4 + 16x = 18 + 4 Combine like terms: -4 + 4 = 0 0 + 16x = 18 + 4 16x = 18 + 4 Combine like terms: 18 + 4 = 22 16x = 22 Divide each side by '16'. x = 1.375 Simplifying x = 1.375
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