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Simplifying 5(x + 3) + 10 = 2(x + 6) + 7 Reorder the terms: 5(3 + x) + 10 = 2(x + 6) + 7 (3 * 5 + x * 5) + 10 = 2(x + 6) + 7 (15 + 5x) + 10 = 2(x + 6) + 7 Reorder the terms: 15 + 10 + 5x = 2(x + 6) + 7 Combine like terms: 15 + 10 = 25 25 + 5x = 2(x + 6) + 7 Reorder the terms: 25 + 5x = 2(6 + x) + 7 25 + 5x = (6 * 2 + x * 2) + 7 25 + 5x = (12 + 2x) + 7 Reorder the terms: 25 + 5x = 12 + 7 + 2x Combine like terms: 12 + 7 = 19 25 + 5x = 19 + 2x Solving 25 + 5x = 19 + 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. 25 + 5x + -2x = 19 + 2x + -2x Combine like terms: 5x + -2x = 3x 25 + 3x = 19 + 2x + -2x Combine like terms: 2x + -2x = 0 25 + 3x = 19 + 0 25 + 3x = 19 Add '-25' to each side of the equation. 25 + -25 + 3x = 19 + -25 Combine like terms: 25 + -25 = 0 0 + 3x = 19 + -25 3x = 19 + -25 Combine like terms: 19 + -25 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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