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Simplifying 8(6x + 7) = 5(6x + 3) Reorder the terms: 8(7 + 6x) = 5(6x + 3) (7 * 8 + 6x * 8) = 5(6x + 3) (56 + 48x) = 5(6x + 3) Reorder the terms: 56 + 48x = 5(3 + 6x) 56 + 48x = (3 * 5 + 6x * 5) 56 + 48x = (15 + 30x) Solving 56 + 48x = 15 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 56 + 48x + -30x = 15 + 30x + -30x Combine like terms: 48x + -30x = 18x 56 + 18x = 15 + 30x + -30x Combine like terms: 30x + -30x = 0 56 + 18x = 15 + 0 56 + 18x = 15 Add '-56' to each side of the equation. 56 + -56 + 18x = 15 + -56 Combine like terms: 56 + -56 = 0 0 + 18x = 15 + -56 18x = 15 + -56 Combine like terms: 15 + -56 = -41 18x = -41 Divide each side by '18'. x = -2.277777778 Simplifying x = -2.277777778
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