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Simplifying 5(3x + -5) + -3 = 5(x + -5) + 87 Reorder the terms: 5(-5 + 3x) + -3 = 5(x + -5) + 87 (-5 * 5 + 3x * 5) + -3 = 5(x + -5) + 87 (-25 + 15x) + -3 = 5(x + -5) + 87 Reorder the terms: -25 + -3 + 15x = 5(x + -5) + 87 Combine like terms: -25 + -3 = -28 -28 + 15x = 5(x + -5) + 87 Reorder the terms: -28 + 15x = 5(-5 + x) + 87 -28 + 15x = (-5 * 5 + x * 5) + 87 -28 + 15x = (-25 + 5x) + 87 Reorder the terms: -28 + 15x = -25 + 87 + 5x Combine like terms: -25 + 87 = 62 -28 + 15x = 62 + 5x Solving -28 + 15x = 62 + 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. -28 + 15x + -5x = 62 + 5x + -5x Combine like terms: 15x + -5x = 10x -28 + 10x = 62 + 5x + -5x Combine like terms: 5x + -5x = 0 -28 + 10x = 62 + 0 -28 + 10x = 62 Add '28' to each side of the equation. -28 + 28 + 10x = 62 + 28 Combine like terms: -28 + 28 = 0 0 + 10x = 62 + 28 10x = 62 + 28 Combine like terms: 62 + 28 = 90 10x = 90 Divide each side by '10'. x = 9 Simplifying x = 9
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