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Simplifying 5(2x + 1) + -2 = 29 + 3(2x + -5) Reorder the terms: 5(1 + 2x) + -2 = 29 + 3(2x + -5) (1 * 5 + 2x * 5) + -2 = 29 + 3(2x + -5) (5 + 10x) + -2 = 29 + 3(2x + -5) Reorder the terms: 5 + -2 + 10x = 29 + 3(2x + -5) Combine like terms: 5 + -2 = 3 3 + 10x = 29 + 3(2x + -5) Reorder the terms: 3 + 10x = 29 + 3(-5 + 2x) 3 + 10x = 29 + (-5 * 3 + 2x * 3) 3 + 10x = 29 + (-15 + 6x) Combine like terms: 29 + -15 = 14 3 + 10x = 14 + 6x Solving 3 + 10x = 14 + 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. 3 + 10x + -6x = 14 + 6x + -6x Combine like terms: 10x + -6x = 4x 3 + 4x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + 4x = 14 + 0 3 + 4x = 14 Add '-3' to each side of the equation. 3 + -3 + 4x = 14 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 14 + -3 4x = 14 + -3 Combine like terms: 14 + -3 = 11 4x = 11 Divide each side by '4'. x = 2.75 Simplifying x = 2.75
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