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Simplifying 3(5x + -6) + 29 = -5(x + -6) + 13x + 2 Reorder the terms: 3(-6 + 5x) + 29 = -5(x + -6) + 13x + 2 (-6 * 3 + 5x * 3) + 29 = -5(x + -6) + 13x + 2 (-18 + 15x) + 29 = -5(x + -6) + 13x + 2 Reorder the terms: -18 + 29 + 15x = -5(x + -6) + 13x + 2 Combine like terms: -18 + 29 = 11 11 + 15x = -5(x + -6) + 13x + 2 Reorder the terms: 11 + 15x = -5(-6 + x) + 13x + 2 11 + 15x = (-6 * -5 + x * -5) + 13x + 2 11 + 15x = (30 + -5x) + 13x + 2 Reorder the terms: 11 + 15x = 30 + 2 + -5x + 13x Combine like terms: 30 + 2 = 32 11 + 15x = 32 + -5x + 13x Combine like terms: -5x + 13x = 8x 11 + 15x = 32 + 8x Solving 11 + 15x = 32 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 11 + 15x + -8x = 32 + 8x + -8x Combine like terms: 15x + -8x = 7x 11 + 7x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 11 + 7x = 32 + 0 11 + 7x = 32 Add '-11' to each side of the equation. 11 + -11 + 7x = 32 + -11 Combine like terms: 11 + -11 = 0 0 + 7x = 32 + -11 7x = 32 + -11 Combine like terms: 32 + -11 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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