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Simplifying 10(x + 4) = 2x + 64 Reorder the terms: 10(4 + x) = 2x + 64 (4 * 10 + x * 10) = 2x + 64 (40 + 10x) = 2x + 64 Reorder the terms: 40 + 10x = 64 + 2x Solving 40 + 10x = 64 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 40 + 10x + -2x = 64 + 2x + -2x Combine like terms: 10x + -2x = 8x 40 + 8x = 64 + 2x + -2x Combine like terms: 2x + -2x = 0 40 + 8x = 64 + 0 40 + 8x = 64 Add '-40' to each side of the equation. 40 + -40 + 8x = 64 + -40 Combine like terms: 40 + -40 = 0 0 + 8x = 64 + -40 8x = 64 + -40 Combine like terms: 64 + -40 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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