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Simplifying 2(x + 7) * 10 = 4(x + 5) Reorder the terms: 2(7 + x) * 10 = 4(x + 5) Reorder the terms for easier multiplication: 2 * 10(7 + x) = 4(x + 5) Multiply 2 * 10 20(7 + x) = 4(x + 5) (7 * 20 + x * 20) = 4(x + 5) (140 + 20x) = 4(x + 5) Reorder the terms: 140 + 20x = 4(5 + x) 140 + 20x = (5 * 4 + x * 4) 140 + 20x = (20 + 4x) Solving 140 + 20x = 20 + 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. 140 + 20x + -4x = 20 + 4x + -4x Combine like terms: 20x + -4x = 16x 140 + 16x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 140 + 16x = 20 + 0 140 + 16x = 20 Add '-140' to each side of the equation. 140 + -140 + 16x = 20 + -140 Combine like terms: 140 + -140 = 0 0 + 16x = 20 + -140 16x = 20 + -140 Combine like terms: 20 + -140 = -120 16x = -120 Divide each side by '16'. x = -7.5 Simplifying x = -7.5
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