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Simplifying 3(x + -4) = 1 + -1(5x + 4) Reorder the terms: 3(-4 + x) = 1 + -1(5x + 4) (-4 * 3 + x * 3) = 1 + -1(5x + 4) (-12 + 3x) = 1 + -1(5x + 4) Reorder the terms: -12 + 3x = 1 + -1(4 + 5x) -12 + 3x = 1 + (4 * -1 + 5x * -1) -12 + 3x = 1 + (-4 + -5x) Combine like terms: 1 + -4 = -3 -12 + 3x = -3 + -5x Solving -12 + 3x = -3 + -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. -12 + 3x + 5x = -3 + -5x + 5x Combine like terms: 3x + 5x = 8x -12 + 8x = -3 + -5x + 5x Combine like terms: -5x + 5x = 0 -12 + 8x = -3 + 0 -12 + 8x = -3 Add '12' to each side of the equation. -12 + 12 + 8x = -3 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = -3 + 12 8x = -3 + 12 Combine like terms: -3 + 12 = 9 8x = 9 Divide each side by '8'. x = 1.125 Simplifying x = 1.125
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