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Simplifying x + 4(x + 2) = 3(x + -3) + -9 Reorder the terms: x + 4(2 + x) = 3(x + -3) + -9 x + (2 * 4 + x * 4) = 3(x + -3) + -9 x + (8 + 4x) = 3(x + -3) + -9 Reorder the terms: 8 + x + 4x = 3(x + -3) + -9 Combine like terms: x + 4x = 5x 8 + 5x = 3(x + -3) + -9 Reorder the terms: 8 + 5x = 3(-3 + x) + -9 8 + 5x = (-3 * 3 + x * 3) + -9 8 + 5x = (-9 + 3x) + -9 Reorder the terms: 8 + 5x = -9 + -9 + 3x Combine like terms: -9 + -9 = -18 8 + 5x = -18 + 3x Solving 8 + 5x = -18 + 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. 8 + 5x + -3x = -18 + 3x + -3x Combine like terms: 5x + -3x = 2x 8 + 2x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 2x = -18 + 0 8 + 2x = -18 Add '-8' to each side of the equation. 8 + -8 + 2x = -18 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = -18 + -8 2x = -18 + -8 Combine like terms: -18 + -8 = -26 2x = -26 Divide each side by '2'. x = -13 Simplifying x = -13
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