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Simplifying 4(2x + 1) = 10x Reorder the terms: 4(1 + 2x) = 10x (1 * 4 + 2x * 4) = 10x (4 + 8x) = 10x Solving 4 + 8x = 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. 4 + 8x + -10x = 10x + -10x Combine like terms: 8x + -10x = -2x 4 + -2x = 10x + -10x Combine like terms: 10x + -10x = 0 4 + -2x = 0 Add '-4' to each side of the equation. 4 + -4 + -2x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 0 + -4 -2x = 0 + -4 Combine like terms: 0 + -4 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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