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Simplifying 4(2x + -3) + 5x = -1(x + 4) Reorder the terms: 4(-3 + 2x) + 5x = -1(x + 4) (-3 * 4 + 2x * 4) + 5x = -1(x + 4) (-12 + 8x) + 5x = -1(x + 4) Combine like terms: 8x + 5x = 13x -12 + 13x = -1(x + 4) Reorder the terms: -12 + 13x = -1(4 + x) -12 + 13x = (4 * -1 + x * -1) -12 + 13x = (-4 + -1x) Solving -12 + 13x = -4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -12 + 13x + x = -4 + -1x + x Combine like terms: 13x + x = 14x -12 + 14x = -4 + -1x + x Combine like terms: -1x + x = 0 -12 + 14x = -4 + 0 -12 + 14x = -4 Add '12' to each side of the equation. -12 + 12 + 14x = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 14x = -4 + 12 14x = -4 + 12 Combine like terms: -4 + 12 = 8 14x = 8 Divide each side by '14'. x = 0.5714285714 Simplifying x = 0.5714285714
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