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Simplifying 6(4x + 1) = 10 + -1(2x + -3) Reorder the terms: 6(1 + 4x) = 10 + -1(2x + -3) (1 * 6 + 4x * 6) = 10 + -1(2x + -3) (6 + 24x) = 10 + -1(2x + -3) Reorder the terms: 6 + 24x = 10 + -1(-3 + 2x) 6 + 24x = 10 + (-3 * -1 + 2x * -1) 6 + 24x = 10 + (3 + -2x) Combine like terms: 10 + 3 = 13 6 + 24x = 13 + -2x Solving 6 + 24x = 13 + -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. 6 + 24x + 2x = 13 + -2x + 2x Combine like terms: 24x + 2x = 26x 6 + 26x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 26x = 13 + 0 6 + 26x = 13 Add '-6' to each side of the equation. 6 + -6 + 26x = 13 + -6 Combine like terms: 6 + -6 = 0 0 + 26x = 13 + -6 26x = 13 + -6 Combine like terms: 13 + -6 = 7 26x = 7 Divide each side by '26'. x = 0.2692307692 Simplifying x = 0.2692307692
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