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Simplifying 3(2x + 1) + -4(x + -6) = x + 29 Reorder the terms: 3(1 + 2x) + -4(x + -6) = x + 29 (1 * 3 + 2x * 3) + -4(x + -6) = x + 29 (3 + 6x) + -4(x + -6) = x + 29 Reorder the terms: 3 + 6x + -4(-6 + x) = x + 29 3 + 6x + (-6 * -4 + x * -4) = x + 29 3 + 6x + (24 + -4x) = x + 29 Reorder the terms: 3 + 24 + 6x + -4x = x + 29 Combine like terms: 3 + 24 = 27 27 + 6x + -4x = x + 29 Combine like terms: 6x + -4x = 2x 27 + 2x = x + 29 Reorder the terms: 27 + 2x = 29 + x Solving 27 + 2x = 29 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 27 + 2x + -1x = 29 + x + -1x Combine like terms: 2x + -1x = 1x 27 + 1x = 29 + x + -1x Combine like terms: x + -1x = 0 27 + 1x = 29 + 0 27 + 1x = 29 Add '-27' to each side of the equation. 27 + -27 + 1x = 29 + -27 Combine like terms: 27 + -27 = 0 0 + 1x = 29 + -27 1x = 29 + -27 Combine like terms: 29 + -27 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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