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Simplifying 5(x + -4) = 29 + 12x Reorder the terms: 5(-4 + x) = 29 + 12x (-4 * 5 + x * 5) = 29 + 12x (-20 + 5x) = 29 + 12x Solving -20 + 5x = 29 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -20 + 5x + -12x = 29 + 12x + -12x Combine like terms: 5x + -12x = -7x -20 + -7x = 29 + 12x + -12x Combine like terms: 12x + -12x = 0 -20 + -7x = 29 + 0 -20 + -7x = 29 Add '20' to each side of the equation. -20 + 20 + -7x = 29 + 20 Combine like terms: -20 + 20 = 0 0 + -7x = 29 + 20 -7x = 29 + 20 Combine like terms: 29 + 20 = 49 -7x = 49 Divide each side by '-7'. x = -7 Simplifying x = -7
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