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Simplifying 4(2x + -1) = 5(x + -3) Reorder the terms: 4(-1 + 2x) = 5(x + -3) (-1 * 4 + 2x * 4) = 5(x + -3) (-4 + 8x) = 5(x + -3) Reorder the terms: -4 + 8x = 5(-3 + x) -4 + 8x = (-3 * 5 + x * 5) -4 + 8x = (-15 + 5x) Solving -4 + 8x = -15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 8x + -5x = -15 + 5x + -5x Combine like terms: 8x + -5x = 3x -4 + 3x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 3x = -15 + 0 -4 + 3x = -15 Add '4' to each side of the equation. -4 + 4 + 3x = -15 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = -15 + 4 3x = -15 + 4 Combine like terms: -15 + 4 = -11 3x = -11 Divide each side by '3'. x = -3.666666667 Simplifying x = -3.666666667
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