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Simplifying x + -3(x + 3) = 8 + 7(x + 4) Reorder the terms: x + -3(3 + x) = 8 + 7(x + 4) x + (3 * -3 + x * -3) = 8 + 7(x + 4) x + (-9 + -3x) = 8 + 7(x + 4) Reorder the terms: -9 + x + -3x = 8 + 7(x + 4) Combine like terms: x + -3x = -2x -9 + -2x = 8 + 7(x + 4) Reorder the terms: -9 + -2x = 8 + 7(4 + x) -9 + -2x = 8 + (4 * 7 + x * 7) -9 + -2x = 8 + (28 + 7x) Combine like terms: 8 + 28 = 36 -9 + -2x = 36 + 7x Solving -9 + -2x = 36 + 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. -9 + -2x + -7x = 36 + 7x + -7x Combine like terms: -2x + -7x = -9x -9 + -9x = 36 + 7x + -7x Combine like terms: 7x + -7x = 0 -9 + -9x = 36 + 0 -9 + -9x = 36 Add '9' to each side of the equation. -9 + 9 + -9x = 36 + 9 Combine like terms: -9 + 9 = 0 0 + -9x = 36 + 9 -9x = 36 + 9 Combine like terms: 36 + 9 = 45 -9x = 45 Divide each side by '-9'. x = -5 Simplifying x = -5
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