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Simplifying 5(3x + -3) + -4 = 5(x + -4) + 91 Reorder the terms: 5(-3 + 3x) + -4 = 5(x + -4) + 91 (-3 * 5 + 3x * 5) + -4 = 5(x + -4) + 91 (-15 + 15x) + -4 = 5(x + -4) + 91 Reorder the terms: -15 + -4 + 15x = 5(x + -4) + 91 Combine like terms: -15 + -4 = -19 -19 + 15x = 5(x + -4) + 91 Reorder the terms: -19 + 15x = 5(-4 + x) + 91 -19 + 15x = (-4 * 5 + x * 5) + 91 -19 + 15x = (-20 + 5x) + 91 Reorder the terms: -19 + 15x = -20 + 91 + 5x Combine like terms: -20 + 91 = 71 -19 + 15x = 71 + 5x Solving -19 + 15x = 71 + 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. -19 + 15x + -5x = 71 + 5x + -5x Combine like terms: 15x + -5x = 10x -19 + 10x = 71 + 5x + -5x Combine like terms: 5x + -5x = 0 -19 + 10x = 71 + 0 -19 + 10x = 71 Add '19' to each side of the equation. -19 + 19 + 10x = 71 + 19 Combine like terms: -19 + 19 = 0 0 + 10x = 71 + 19 10x = 71 + 19 Combine like terms: 71 + 19 = 90 10x = 90 Divide each side by '10'. x = 9 Simplifying x = 9
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