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Simplifying 10(1 + 4x) = 14 + 24x (1 * 10 + 4x * 10) = 14 + 24x (10 + 40x) = 14 + 24x Solving 10 + 40x = 14 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 10 + 40x + -24x = 14 + 24x + -24x Combine like terms: 40x + -24x = 16x 10 + 16x = 14 + 24x + -24x Combine like terms: 24x + -24x = 0 10 + 16x = 14 + 0 10 + 16x = 14 Add '-10' to each side of the equation. 10 + -10 + 16x = 14 + -10 Combine like terms: 10 + -10 = 0 0 + 16x = 14 + -10 16x = 14 + -10 Combine like terms: 14 + -10 = 4 16x = 4 Divide each side by '16'. x = 0.25 Simplifying x = 0.25
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