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Simplifying 9(x + -3) = -7(x + 4) + 29 Reorder the terms: 9(-3 + x) = -7(x + 4) + 29 (-3 * 9 + x * 9) = -7(x + 4) + 29 (-27 + 9x) = -7(x + 4) + 29 Reorder the terms: -27 + 9x = -7(4 + x) + 29 -27 + 9x = (4 * -7 + x * -7) + 29 -27 + 9x = (-28 + -7x) + 29 Reorder the terms: -27 + 9x = -28 + 29 + -7x Combine like terms: -28 + 29 = 1 -27 + 9x = 1 + -7x Solving -27 + 9x = 1 + -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. -27 + 9x + 7x = 1 + -7x + 7x Combine like terms: 9x + 7x = 16x -27 + 16x = 1 + -7x + 7x Combine like terms: -7x + 7x = 0 -27 + 16x = 1 + 0 -27 + 16x = 1 Add '27' to each side of the equation. -27 + 27 + 16x = 1 + 27 Combine like terms: -27 + 27 = 0 0 + 16x = 1 + 27 16x = 1 + 27 Combine like terms: 1 + 27 = 28 16x = 28 Divide each side by '16'. x = 1.75 Simplifying x = 1.75
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