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Simplifying 5(3x + -9) + -8 = 5(x + -4) + 37 Reorder the terms: 5(-9 + 3x) + -8 = 5(x + -4) + 37 (-9 * 5 + 3x * 5) + -8 = 5(x + -4) + 37 (-45 + 15x) + -8 = 5(x + -4) + 37 Reorder the terms: -45 + -8 + 15x = 5(x + -4) + 37 Combine like terms: -45 + -8 = -53 -53 + 15x = 5(x + -4) + 37 Reorder the terms: -53 + 15x = 5(-4 + x) + 37 -53 + 15x = (-4 * 5 + x * 5) + 37 -53 + 15x = (-20 + 5x) + 37 Reorder the terms: -53 + 15x = -20 + 37 + 5x Combine like terms: -20 + 37 = 17 -53 + 15x = 17 + 5x Solving -53 + 15x = 17 + 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. -53 + 15x + -5x = 17 + 5x + -5x Combine like terms: 15x + -5x = 10x -53 + 10x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 -53 + 10x = 17 + 0 -53 + 10x = 17 Add '53' to each side of the equation. -53 + 53 + 10x = 17 + 53 Combine like terms: -53 + 53 = 0 0 + 10x = 17 + 53 10x = 17 + 53 Combine like terms: 17 + 53 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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