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Simplifying 7(2x + 4) = 10(x + 4) Reorder the terms: 7(4 + 2x) = 10(x + 4) (4 * 7 + 2x * 7) = 10(x + 4) (28 + 14x) = 10(x + 4) Reorder the terms: 28 + 14x = 10(4 + x) 28 + 14x = (4 * 10 + x * 10) 28 + 14x = (40 + 10x) Solving 28 + 14x = 40 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 28 + 14x + -10x = 40 + 10x + -10x Combine like terms: 14x + -10x = 4x 28 + 4x = 40 + 10x + -10x Combine like terms: 10x + -10x = 0 28 + 4x = 40 + 0 28 + 4x = 40 Add '-28' to each side of the equation. 28 + -28 + 4x = 40 + -28 Combine like terms: 28 + -28 = 0 0 + 4x = 40 + -28 4x = 40 + -28 Combine like terms: 40 + -28 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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