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Simplifying 2(4x + 5) = 7x + -4 Reorder the terms: 2(5 + 4x) = 7x + -4 (5 * 2 + 4x * 2) = 7x + -4 (10 + 8x) = 7x + -4 Reorder the terms: 10 + 8x = -4 + 7x Solving 10 + 8x = -4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + 8x + -7x = -4 + 7x + -7x Combine like terms: 8x + -7x = 1x 10 + 1x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + 1x = -4 + 0 10 + 1x = -4 Add '-10' to each side of the equation. 10 + -10 + 1x = -4 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = -4 + -10 1x = -4 + -10 Combine like terms: -4 + -10 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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