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