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Simplifying (3 + x) * 5 + -2 = -2x + 13 + 7 Reorder the terms for easier multiplication: 5(3 + x) + -2 = -2x + 13 + 7 (3 * 5 + x * 5) + -2 = -2x + 13 + 7 (15 + 5x) + -2 = -2x + 13 + 7 Reorder the terms: 15 + -2 + 5x = -2x + 13 + 7 Combine like terms: 15 + -2 = 13 13 + 5x = -2x + 13 + 7 Reorder the terms: 13 + 5x = 13 + 7 + -2x Combine like terms: 13 + 7 = 20 13 + 5x = 20 + -2x Solving 13 + 5x = 20 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 13 + 5x + 2x = 20 + -2x + 2x Combine like terms: 5x + 2x = 7x 13 + 7x = 20 + -2x + 2x Combine like terms: -2x + 2x = 0 13 + 7x = 20 + 0 13 + 7x = 20 Add '-13' to each side of the equation. 13 + -13 + 7x = 20 + -13 Combine like terms: 13 + -13 = 0 0 + 7x = 20 + -13 7x = 20 + -13 Combine like terms: 20 + -13 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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