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Simplifying 10(4x + 10) = 4(x + 7) Reorder the terms: 10(10 + 4x) = 4(x + 7) (10 * 10 + 4x * 10) = 4(x + 7) (100 + 40x) = 4(x + 7) Reorder the terms: 100 + 40x = 4(7 + x) 100 + 40x = (7 * 4 + x * 4) 100 + 40x = (28 + 4x) Solving 100 + 40x = 28 + 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. 100 + 40x + -4x = 28 + 4x + -4x Combine like terms: 40x + -4x = 36x 100 + 36x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 100 + 36x = 28 + 0 100 + 36x = 28 Add '-100' to each side of the equation. 100 + -100 + 36x = 28 + -100 Combine like terms: 100 + -100 = 0 0 + 36x = 28 + -100 36x = 28 + -100 Combine like terms: 28 + -100 = -72 36x = -72 Divide each side by '36'. x = -2 Simplifying x = -2
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