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Simplifying 2(x + 9) = -3(5x + -4) + x Reorder the terms: 2(9 + x) = -3(5x + -4) + x (9 * 2 + x * 2) = -3(5x + -4) + x (18 + 2x) = -3(5x + -4) + x Reorder the terms: 18 + 2x = -3(-4 + 5x) + x 18 + 2x = (-4 * -3 + 5x * -3) + x 18 + 2x = (12 + -15x) + x Combine like terms: -15x + x = -14x 18 + 2x = 12 + -14x Solving 18 + 2x = 12 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 18 + 2x + 14x = 12 + -14x + 14x Combine like terms: 2x + 14x = 16x 18 + 16x = 12 + -14x + 14x Combine like terms: -14x + 14x = 0 18 + 16x = 12 + 0 18 + 16x = 12 Add '-18' to each side of the equation. 18 + -18 + 16x = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 16x = 12 + -18 16x = 12 + -18 Combine like terms: 12 + -18 = -6 16x = -6 Divide each side by '16'. x = -0.375 Simplifying x = -0.375
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