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Simplifying 4(x + -1) = 5(2x + 3) Reorder the terms: 4(-1 + x) = 5(2x + 3) (-1 * 4 + x * 4) = 5(2x + 3) (-4 + 4x) = 5(2x + 3) Reorder the terms: -4 + 4x = 5(3 + 2x) -4 + 4x = (3 * 5 + 2x * 5) -4 + 4x = (15 + 10x) Solving -4 + 4x = 15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -4 + 4x + -10x = 15 + 10x + -10x Combine like terms: 4x + -10x = -6x -4 + -6x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 -4 + -6x = 15 + 0 -4 + -6x = 15 Add '4' to each side of the equation. -4 + 4 + -6x = 15 + 4 Combine like terms: -4 + 4 = 0 0 + -6x = 15 + 4 -6x = 15 + 4 Combine like terms: 15 + 4 = 19 -6x = 19 Divide each side by '-6'. x = -3.166666667 Simplifying x = -3.166666667
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