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Simplifying 29 + -5(8x + 3) = -9(4x + 2) Reorder the terms: 29 + -5(3 + 8x) = -9(4x + 2) 29 + (3 * -5 + 8x * -5) = -9(4x + 2) 29 + (-15 + -40x) = -9(4x + 2) Combine like terms: 29 + -15 = 14 14 + -40x = -9(4x + 2) Reorder the terms: 14 + -40x = -9(2 + 4x) 14 + -40x = (2 * -9 + 4x * -9) 14 + -40x = (-18 + -36x) Solving 14 + -40x = -18 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 14 + -40x + 36x = -18 + -36x + 36x Combine like terms: -40x + 36x = -4x 14 + -4x = -18 + -36x + 36x Combine like terms: -36x + 36x = 0 14 + -4x = -18 + 0 14 + -4x = -18 Add '-14' to each side of the equation. 14 + -14 + -4x = -18 + -14 Combine like terms: 14 + -14 = 0 0 + -4x = -18 + -14 -4x = -18 + -14 Combine like terms: -18 + -14 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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