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Simplifying 5(3x + -2) + -3 = 5(x + -3) + 32 Reorder the terms: 5(-2 + 3x) + -3 = 5(x + -3) + 32 (-2 * 5 + 3x * 5) + -3 = 5(x + -3) + 32 (-10 + 15x) + -3 = 5(x + -3) + 32 Reorder the terms: -10 + -3 + 15x = 5(x + -3) + 32 Combine like terms: -10 + -3 = -13 -13 + 15x = 5(x + -3) + 32 Reorder the terms: -13 + 15x = 5(-3 + x) + 32 -13 + 15x = (-3 * 5 + x * 5) + 32 -13 + 15x = (-15 + 5x) + 32 Reorder the terms: -13 + 15x = -15 + 32 + 5x Combine like terms: -15 + 32 = 17 -13 + 15x = 17 + 5x Solving -13 + 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. -13 + 15x + -5x = 17 + 5x + -5x Combine like terms: 15x + -5x = 10x -13 + 10x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 -13 + 10x = 17 + 0 -13 + 10x = 17 Add '13' to each side of the equation. -13 + 13 + 10x = 17 + 13 Combine like terms: -13 + 13 = 0 0 + 10x = 17 + 13 10x = 17 + 13 Combine like terms: 17 + 13 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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