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Simplifying 5(x + -4) = -2x + 29 Reorder the terms: 5(-4 + x) = -2x + 29 (-4 * 5 + x * 5) = -2x + 29 (-20 + 5x) = -2x + 29 Reorder the terms: -20 + 5x = 29 + -2x Solving -20 + 5x = 29 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -20 + 5x + 2x = 29 + -2x + 2x Combine like terms: 5x + 2x = 7x -20 + 7x = 29 + -2x + 2x Combine like terms: -2x + 2x = 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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