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Simplifying 4(x + -1) = 2(x + 3) + -1(2x + -3) Reorder the terms: 4(-1 + x) = 2(x + 3) + -1(2x + -3) (-1 * 4 + x * 4) = 2(x + 3) + -1(2x + -3) (-4 + 4x) = 2(x + 3) + -1(2x + -3) Reorder the terms: -4 + 4x = 2(3 + x) + -1(2x + -3) -4 + 4x = (3 * 2 + x * 2) + -1(2x + -3) -4 + 4x = (6 + 2x) + -1(2x + -3) Reorder the terms: -4 + 4x = 6 + 2x + -1(-3 + 2x) -4 + 4x = 6 + 2x + (-3 * -1 + 2x * -1) -4 + 4x = 6 + 2x + (3 + -2x) Reorder the terms: -4 + 4x = 6 + 3 + 2x + -2x Combine like terms: 6 + 3 = 9 -4 + 4x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 4x = 9 + 0 -4 + 4x = 9 Solving -4 + 4x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 4x = 9 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 9 + 4 4x = 9 + 4 Combine like terms: 9 + 4 = 13 4x = 13 Divide each side by '4'. x = 3.25 Simplifying x = 3.25
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