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Simplifying 5(3x + -2) + -5 = 5(x + -2) + 65 Reorder the terms: 5(-2 + 3x) + -5 = 5(x + -2) + 65 (-2 * 5 + 3x * 5) + -5 = 5(x + -2) + 65 (-10 + 15x) + -5 = 5(x + -2) + 65 Reorder the terms: -10 + -5 + 15x = 5(x + -2) + 65 Combine like terms: -10 + -5 = -15 -15 + 15x = 5(x + -2) + 65 Reorder the terms: -15 + 15x = 5(-2 + x) + 65 -15 + 15x = (-2 * 5 + x * 5) + 65 -15 + 15x = (-10 + 5x) + 65 Reorder the terms: -15 + 15x = -10 + 65 + 5x Combine like terms: -10 + 65 = 55 -15 + 15x = 55 + 5x Solving -15 + 15x = 55 + 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. -15 + 15x + -5x = 55 + 5x + -5x Combine like terms: 15x + -5x = 10x -15 + 10x = 55 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + 10x = 55 + 0 -15 + 10x = 55 Add '15' to each side of the equation. -15 + 15 + 10x = 55 + 15 Combine like terms: -15 + 15 = 0 0 + 10x = 55 + 15 10x = 55 + 15 Combine like terms: 55 + 15 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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