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Simplifying 2(5x + 4) + 3(2x + 2) = 4x + -9 Reorder the terms: 2(4 + 5x) + 3(2x + 2) = 4x + -9 (4 * 2 + 5x * 2) + 3(2x + 2) = 4x + -9 (8 + 10x) + 3(2x + 2) = 4x + -9 Reorder the terms: 8 + 10x + 3(2 + 2x) = 4x + -9 8 + 10x + (2 * 3 + 2x * 3) = 4x + -9 8 + 10x + (6 + 6x) = 4x + -9 Reorder the terms: 8 + 6 + 10x + 6x = 4x + -9 Combine like terms: 8 + 6 = 14 14 + 10x + 6x = 4x + -9 Combine like terms: 10x + 6x = 16x 14 + 16x = 4x + -9 Reorder the terms: 14 + 16x = -9 + 4x Solving 14 + 16x = -9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 14 + 16x + -4x = -9 + 4x + -4x Combine like terms: 16x + -4x = 12x 14 + 12x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + 12x = -9 + 0 14 + 12x = -9 Add '-14' to each side of the equation. 14 + -14 + 12x = -9 + -14 Combine like terms: 14 + -14 = 0 0 + 12x = -9 + -14 12x = -9 + -14 Combine like terms: -9 + -14 = -23 12x = -23 Divide each side by '12'. x = -1.916666667 Simplifying x = -1.916666667
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