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Simplifying 3(x + -2) + 29(x + 1) = -14 Reorder the terms: 3(-2 + x) + 29(x + 1) = -14 (-2 * 3 + x * 3) + 29(x + 1) = -14 (-6 + 3x) + 29(x + 1) = -14 Reorder the terms: -6 + 3x + 29(1 + x) = -14 -6 + 3x + (1 * 29 + x * 29) = -14 -6 + 3x + (29 + 29x) = -14 Reorder the terms: -6 + 29 + 3x + 29x = -14 Combine like terms: -6 + 29 = 23 23 + 3x + 29x = -14 Combine like terms: 3x + 29x = 32x 23 + 32x = -14 Solving 23 + 32x = -14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 32x = -14 + -23 Combine like terms: 23 + -23 = 0 0 + 32x = -14 + -23 32x = -14 + -23 Combine like terms: -14 + -23 = -37 32x = -37 Divide each side by '32'. x = -1.15625 Simplifying x = -1.15625
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