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Simplifying 5(2x + -2) + -3 = 5(x + -2) + 7 Reorder the terms: 5(-2 + 2x) + -3 = 5(x + -2) + 7 (-2 * 5 + 2x * 5) + -3 = 5(x + -2) + 7 (-10 + 10x) + -3 = 5(x + -2) + 7 Reorder the terms: -10 + -3 + 10x = 5(x + -2) + 7 Combine like terms: -10 + -3 = -13 -13 + 10x = 5(x + -2) + 7 Reorder the terms: -13 + 10x = 5(-2 + x) + 7 -13 + 10x = (-2 * 5 + x * 5) + 7 -13 + 10x = (-10 + 5x) + 7 Reorder the terms: -13 + 10x = -10 + 7 + 5x Combine like terms: -10 + 7 = -3 -13 + 10x = -3 + 5x Solving -13 + 10x = -3 + 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 + 10x + -5x = -3 + 5x + -5x Combine like terms: 10x + -5x = 5x -13 + 5x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 -13 + 5x = -3 + 0 -13 + 5x = -3 Add '13' to each side of the equation. -13 + 13 + 5x = -3 + 13 Combine like terms: -13 + 13 = 0 0 + 5x = -3 + 13 5x = -3 + 13 Combine like terms: -3 + 13 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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