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Simplifying 3x + -1(x + -4) + -5 = 5(x + -4) + -4 Reorder the terms: 3x + -1(-4 + x) + -5 = 5(x + -4) + -4 3x + (-4 * -1 + x * -1) + -5 = 5(x + -4) + -4 3x + (4 + -1x) + -5 = 5(x + -4) + -4 Reorder the terms: 4 + -5 + 3x + -1x = 5(x + -4) + -4 Combine like terms: 4 + -5 = -1 -1 + 3x + -1x = 5(x + -4) + -4 Combine like terms: 3x + -1x = 2x -1 + 2x = 5(x + -4) + -4 Reorder the terms: -1 + 2x = 5(-4 + x) + -4 -1 + 2x = (-4 * 5 + x * 5) + -4 -1 + 2x = (-20 + 5x) + -4 Reorder the terms: -1 + 2x = -20 + -4 + 5x Combine like terms: -20 + -4 = -24 -1 + 2x = -24 + 5x Solving -1 + 2x = -24 + 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. -1 + 2x + -5x = -24 + 5x + -5x Combine like terms: 2x + -5x = -3x -1 + -3x = -24 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -3x = -24 + 0 -1 + -3x = -24 Add '1' to each side of the equation. -1 + 1 + -3x = -24 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = -24 + 1 -3x = -24 + 1 Combine like terms: -24 + 1 = -23 -3x = -23 Divide each side by '-3'. x = 7.666666667 Simplifying x = 7.666666667
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