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Simplifying 4(2x + -1) = 29 + 3(2x + -5) Reorder the terms: 4(-1 + 2x) = 29 + 3(2x + -5) (-1 * 4 + 2x * 4) = 29 + 3(2x + -5) (-4 + 8x) = 29 + 3(2x + -5) Reorder the terms: -4 + 8x = 29 + 3(-5 + 2x) -4 + 8x = 29 + (-5 * 3 + 2x * 3) -4 + 8x = 29 + (-15 + 6x) Combine like terms: 29 + -15 = 14 -4 + 8x = 14 + 6x Solving -4 + 8x = 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. -4 + 8x + -6x = 14 + 6x + -6x Combine like terms: 8x + -6x = 2x -4 + 2x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 2x = 14 + 0 -4 + 2x = 14 Add '4' to each side of the equation. -4 + 4 + 2x = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 14 + 4 2x = 14 + 4 Combine like terms: 14 + 4 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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