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Simplifying 5(x + 3) + 10 = 6(x + 2) + 11 Reorder the terms: 5(3 + x) + 10 = 6(x + 2) + 11 (3 * 5 + x * 5) + 10 = 6(x + 2) + 11 (15 + 5x) + 10 = 6(x + 2) + 11 Reorder the terms: 15 + 10 + 5x = 6(x + 2) + 11 Combine like terms: 15 + 10 = 25 25 + 5x = 6(x + 2) + 11 Reorder the terms: 25 + 5x = 6(2 + x) + 11 25 + 5x = (2 * 6 + x * 6) + 11 25 + 5x = (12 + 6x) + 11 Reorder the terms: 25 + 5x = 12 + 11 + 6x Combine like terms: 12 + 11 = 23 25 + 5x = 23 + 6x Solving 25 + 5x = 23 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 25 + 5x + -6x = 23 + 6x + -6x Combine like terms: 5x + -6x = -1x 25 + -1x = 23 + 6x + -6x Combine like terms: 6x + -6x = 0 25 + -1x = 23 + 0 25 + -1x = 23 Add '-25' to each side of the equation. 25 + -25 + -1x = 23 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 23 + -25 -1x = 23 + -25 Combine like terms: 23 + -25 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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