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Simplifying 3(2x + 1) + -2(5 + -1x) = 29 Reorder the terms: 3(1 + 2x) + -2(5 + -1x) = 29 (1 * 3 + 2x * 3) + -2(5 + -1x) = 29 (3 + 6x) + -2(5 + -1x) = 29 3 + 6x + (5 * -2 + -1x * -2) = 29 3 + 6x + (-10 + 2x) = 29 Reorder the terms: 3 + -10 + 6x + 2x = 29 Combine like terms: 3 + -10 = -7 -7 + 6x + 2x = 29 Combine like terms: 6x + 2x = 8x -7 + 8x = 29 Solving -7 + 8x = 29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 8x = 29 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = 29 + 7 8x = 29 + 7 Combine like terms: 29 + 7 = 36 8x = 36 Divide each side by '8'. x = 4.5 Simplifying x = 4.5
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