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Simplifying 5(x + -11) = 3(x + 29) Reorder the terms: 5(-11 + x) = 3(x + 29) (-11 * 5 + x * 5) = 3(x + 29) (-55 + 5x) = 3(x + 29) Reorder the terms: -55 + 5x = 3(29 + x) -55 + 5x = (29 * 3 + x * 3) -55 + 5x = (87 + 3x) Solving -55 + 5x = 87 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -55 + 5x + -3x = 87 + 3x + -3x Combine like terms: 5x + -3x = 2x -55 + 2x = 87 + 3x + -3x Combine like terms: 3x + -3x = 0 -55 + 2x = 87 + 0 -55 + 2x = 87 Add '55' to each side of the equation. -55 + 55 + 2x = 87 + 55 Combine like terms: -55 + 55 = 0 0 + 2x = 87 + 55 2x = 87 + 55 Combine like terms: 87 + 55 = 142 2x = 142 Divide each side by '2'. x = 71 Simplifying x = 71
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