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Simplifying 4(2x + 5) + -1(3x + 4) = 7 Reorder the terms: 4(5 + 2x) + -1(3x + 4) = 7 (5 * 4 + 2x * 4) + -1(3x + 4) = 7 (20 + 8x) + -1(3x + 4) = 7 Reorder the terms: 20 + 8x + -1(4 + 3x) = 7 20 + 8x + (4 * -1 + 3x * -1) = 7 20 + 8x + (-4 + -3x) = 7 Reorder the terms: 20 + -4 + 8x + -3x = 7 Combine like terms: 20 + -4 = 16 16 + 8x + -3x = 7 Combine like terms: 8x + -3x = 5x 16 + 5x = 7 Solving 16 + 5x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 5x = 7 + -16 Combine like terms: 16 + -16 = 0 0 + 5x = 7 + -16 5x = 7 + -16 Combine like terms: 7 + -16 = -9 5x = -9 Divide each side by '5'. x = -1.8 Simplifying x = -1.8
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