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Simplifying 5(x + -3) = -9(x + 1) + 29 Reorder the terms: 5(-3 + x) = -9(x + 1) + 29 (-3 * 5 + x * 5) = -9(x + 1) + 29 (-15 + 5x) = -9(x + 1) + 29 Reorder the terms: -15 + 5x = -9(1 + x) + 29 -15 + 5x = (1 * -9 + x * -9) + 29 -15 + 5x = (-9 + -9x) + 29 Reorder the terms: -15 + 5x = -9 + 29 + -9x Combine like terms: -9 + 29 = 20 -15 + 5x = 20 + -9x Solving -15 + 5x = 20 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -15 + 5x + 9x = 20 + -9x + 9x Combine like terms: 5x + 9x = 14x -15 + 14x = 20 + -9x + 9x Combine like terms: -9x + 9x = 0 -15 + 14x = 20 + 0 -15 + 14x = 20 Add '15' to each side of the equation. -15 + 15 + 14x = 20 + 15 Combine like terms: -15 + 15 = 0 0 + 14x = 20 + 15 14x = 20 + 15 Combine like terms: 20 + 15 = 35 14x = 35 Divide each side by '14'. x = 2.5 Simplifying x = 2.5
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