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Simplifying 7(2x + 5) = 4(x + 2) + -4 Reorder the terms: 7(5 + 2x) = 4(x + 2) + -4 (5 * 7 + 2x * 7) = 4(x + 2) + -4 (35 + 14x) = 4(x + 2) + -4 Reorder the terms: 35 + 14x = 4(2 + x) + -4 35 + 14x = (2 * 4 + x * 4) + -4 35 + 14x = (8 + 4x) + -4 Reorder the terms: 35 + 14x = 8 + -4 + 4x Combine like terms: 8 + -4 = 4 35 + 14x = 4 + 4x Solving 35 + 14x = 4 + 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. 35 + 14x + -4x = 4 + 4x + -4x Combine like terms: 14x + -4x = 10x 35 + 10x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 35 + 10x = 4 + 0 35 + 10x = 4 Add '-35' to each side of the equation. 35 + -35 + 10x = 4 + -35 Combine like terms: 35 + -35 = 0 0 + 10x = 4 + -35 10x = 4 + -35 Combine like terms: 4 + -35 = -31 10x = -31 Divide each side by '10'. x = -3.1 Simplifying x = -3.1
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