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Simplifying 5(x + 2) = 3(29 + -2x) Reorder the terms: 5(2 + x) = 3(29 + -2x) (2 * 5 + x * 5) = 3(29 + -2x) (10 + 5x) = 3(29 + -2x) 10 + 5x = (29 * 3 + -2x * 3) 10 + 5x = (87 + -6x) Solving 10 + 5x = 87 + -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. 10 + 5x + 6x = 87 + -6x + 6x Combine like terms: 5x + 6x = 11x 10 + 11x = 87 + -6x + 6x Combine like terms: -6x + 6x = 0 10 + 11x = 87 + 0 10 + 11x = 87 Add '-10' to each side of the equation. 10 + -10 + 11x = 87 + -10 Combine like terms: 10 + -10 = 0 0 + 11x = 87 + -10 11x = 87 + -10 Combine like terms: 87 + -10 = 77 11x = 77 Divide each side by '11'. x = 7 Simplifying x = 7
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