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Simplifying 6(x + 3) = 7(x + -2) Reorder the terms: 6(3 + x) = 7(x + -2) (3 * 6 + x * 6) = 7(x + -2) (18 + 6x) = 7(x + -2) Reorder the terms: 18 + 6x = 7(-2 + x) 18 + 6x = (-2 * 7 + x * 7) 18 + 6x = (-14 + 7x) Solving 18 + 6x = -14 + 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 = -14 + 7x + -7x Combine like terms: 6x + -7x = -1x 18 + -1x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 18 + -1x = -14 + 0 18 + -1x = -14 Add '-18' to each side of the equation. 18 + -18 + -1x = -14 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = -14 + -18 -1x = -14 + -18 Combine like terms: -14 + -18 = -32 -1x = -32 Divide each side by '-1'. x = 32 Simplifying x = 32
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