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Simplifying 6(x + 5) + -12 = 7(x + 4) Reorder the terms: 6(5 + x) + -12 = 7(x + 4) (5 * 6 + x * 6) + -12 = 7(x + 4) (30 + 6x) + -12 = 7(x + 4) Reorder the terms: 30 + -12 + 6x = 7(x + 4) Combine like terms: 30 + -12 = 18 18 + 6x = 7(x + 4) Reorder the terms: 18 + 6x = 7(4 + x) 18 + 6x = (4 * 7 + x * 7) 18 + 6x = (28 + 7x) Solving 18 + 6x = 28 + 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 = 28 + 7x + -7x Combine like terms: 6x + -7x = -1x 18 + -1x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 18 + -1x = 28 + 0 18 + -1x = 28 Add '-18' to each side of the equation. 18 + -18 + -1x = 28 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 28 + -18 -1x = 28 + -18 Combine like terms: 28 + -18 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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