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Simplifying 6(x + 3) = 7x + 15 Reorder the terms: 6(3 + x) = 7x + 15 (3 * 6 + x * 6) = 7x + 15 (18 + 6x) = 7x + 15 Reorder the terms: 18 + 6x = 15 + 7x Solving 18 + 6x = 15 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 18 + 6x + -7x = 15 + 7x + -7x Combine like terms: 6x + -7x = -1x 18 + -1x = 15 + 7x + -7x Combine like terms: 7x + -7x = 0 18 + -1x = 15 + 0 18 + -1x = 15 Add '-18' to each side of the equation. 18 + -18 + -1x = 15 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 15 + -18 -1x = 15 + -18 Combine like terms: 15 + -18 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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