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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 + -29 + 8x = 3(2x + -5) Combine like terms: -4 + -29 = -33 -33 + 8x = 3(2x + -5) Reorder the terms: -33 + 8x = 3(-5 + 2x) -33 + 8x = (-5 * 3 + 2x * 3) -33 + 8x = (-15 + 6x) Solving -33 + 8x = -15 + 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. -33 + 8x + -6x = -15 + 6x + -6x Combine like terms: 8x + -6x = 2x -33 + 2x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 -33 + 2x = -15 + 0 -33 + 2x = -15 Add '33' to each side of the equation. -33 + 33 + 2x = -15 + 33 Combine like terms: -33 + 33 = 0 0 + 2x = -15 + 33 2x = -15 + 33 Combine like terms: -15 + 33 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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