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Simplifying 5(x + -2) = -7(x + 1) + 29 Reorder the terms: 5(-2 + x) = -7(x + 1) + 29 (-2 * 5 + x * 5) = -7(x + 1) + 29 (-10 + 5x) = -7(x + 1) + 29 Reorder the terms: -10 + 5x = -7(1 + x) + 29 -10 + 5x = (1 * -7 + x * -7) + 29 -10 + 5x = (-7 + -7x) + 29 Reorder the terms: -10 + 5x = -7 + 29 + -7x Combine like terms: -7 + 29 = 22 -10 + 5x = 22 + -7x Solving -10 + 5x = 22 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -10 + 5x + 7x = 22 + -7x + 7x Combine like terms: 5x + 7x = 12x -10 + 12x = 22 + -7x + 7x Combine like terms: -7x + 7x = 0 -10 + 12x = 22 + 0 -10 + 12x = 22 Add '10' to each side of the equation. -10 + 10 + 12x = 22 + 10 Combine like terms: -10 + 10 = 0 0 + 12x = 22 + 10 12x = 22 + 10 Combine like terms: 22 + 10 = 32 12x = 32 Divide each side by '12'. x = 2.666666667 Simplifying x = 2.666666667
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