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Simplifying 3(3x + 1) + -2(x + -5) + 5 + 7x = 10(x + 1) + -10x + 8 Reorder the terms: 3(1 + 3x) + -2(x + -5) + 5 + 7x = 10(x + 1) + -10x + 8 (1 * 3 + 3x * 3) + -2(x + -5) + 5 + 7x = 10(x + 1) + -10x + 8 (3 + 9x) + -2(x + -5) + 5 + 7x = 10(x + 1) + -10x + 8 Reorder the terms: 3 + 9x + -2(-5 + x) + 5 + 7x = 10(x + 1) + -10x + 8 3 + 9x + (-5 * -2 + x * -2) + 5 + 7x = 10(x + 1) + -10x + 8 3 + 9x + (10 + -2x) + 5 + 7x = 10(x + 1) + -10x + 8 Reorder the terms: 3 + 10 + 5 + 9x + -2x + 7x = 10(x + 1) + -10x + 8 Combine like terms: 3 + 10 = 13 13 + 5 + 9x + -2x + 7x = 10(x + 1) + -10x + 8 Combine like terms: 13 + 5 = 18 18 + 9x + -2x + 7x = 10(x + 1) + -10x + 8 Combine like terms: 9x + -2x = 7x 18 + 7x + 7x = 10(x + 1) + -10x + 8 Combine like terms: 7x + 7x = 14x 18 + 14x = 10(x + 1) + -10x + 8 Reorder the terms: 18 + 14x = 10(1 + x) + -10x + 8 18 + 14x = (1 * 10 + x * 10) + -10x + 8 18 + 14x = (10 + 10x) + -10x + 8 Reorder the terms: 18 + 14x = 10 + 8 + 10x + -10x Combine like terms: 10 + 8 = 18 18 + 14x = 18 + 10x + -10x Combine like terms: 10x + -10x = 0 18 + 14x = 18 + 0 18 + 14x = 18 Add '-18' to each side of the equation. 18 + -18 + 14x = 18 + -18 Combine like terms: 18 + -18 = 0 0 + 14x = 18 + -18 14x = 18 + -18 Combine like terms: 18 + -18 = 0 14x = 0 Solving 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '14'. x = 0 Simplifying x = 0
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