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Simplifying 15(62x + 7) = 38(24x + 3) Reorder the terms: 15(7 + 62x) = 38(24x + 3) (7 * 15 + 62x * 15) = 38(24x + 3) (105 + 930x) = 38(24x + 3) Reorder the terms: 105 + 930x = 38(3 + 24x) 105 + 930x = (3 * 38 + 24x * 38) 105 + 930x = (114 + 912x) Solving 105 + 930x = 114 + 912x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-912x' to each side of the equation. 105 + 930x + -912x = 114 + 912x + -912x Combine like terms: 930x + -912x = 18x 105 + 18x = 114 + 912x + -912x Combine like terms: 912x + -912x = 0 105 + 18x = 114 + 0 105 + 18x = 114 Add '-105' to each side of the equation. 105 + -105 + 18x = 114 + -105 Combine like terms: 105 + -105 = 0 0 + 18x = 114 + -105 18x = 114 + -105 Combine like terms: 114 + -105 = 9 18x = 9 Divide each side by '18'. x = 0.5 Simplifying x = 0.5
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