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Simplifying 7(x + 2) = -2(3x + -9) + 5x Reorder the terms: 7(2 + x) = -2(3x + -9) + 5x (2 * 7 + x * 7) = -2(3x + -9) + 5x (14 + 7x) = -2(3x + -9) + 5x Reorder the terms: 14 + 7x = -2(-9 + 3x) + 5x 14 + 7x = (-9 * -2 + 3x * -2) + 5x 14 + 7x = (18 + -6x) + 5x Combine like terms: -6x + 5x = -1x 14 + 7x = 18 + -1x Solving 14 + 7x = 18 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 14 + 7x + x = 18 + -1x + x Combine like terms: 7x + x = 8x 14 + 8x = 18 + -1x + x Combine like terms: -1x + x = 0 14 + 8x = 18 + 0 14 + 8x = 18 Add '-14' to each side of the equation. 14 + -14 + 8x = 18 + -14 Combine like terms: 14 + -14 = 0 0 + 8x = 18 + -14 8x = 18 + -14 Combine like terms: 18 + -14 = 4 8x = 4 Divide each side by '8'. x = 0.5 Simplifying x = 0.5
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