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Simplifying 7(x + 6) + -12 = 8(x + 3) Reorder the terms: 7(6 + x) + -12 = 8(x + 3) (6 * 7 + x * 7) + -12 = 8(x + 3) (42 + 7x) + -12 = 8(x + 3) Reorder the terms: 42 + -12 + 7x = 8(x + 3) Combine like terms: 42 + -12 = 30 30 + 7x = 8(x + 3) Reorder the terms: 30 + 7x = 8(3 + x) 30 + 7x = (3 * 8 + x * 8) 30 + 7x = (24 + 8x) Solving 30 + 7x = 24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 30 + 7x + -8x = 24 + 8x + -8x Combine like terms: 7x + -8x = -1x 30 + -1x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 30 + -1x = 24 + 0 30 + -1x = 24 Add '-30' to each side of the equation. 30 + -30 + -1x = 24 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 24 + -30 -1x = 24 + -30 Combine like terms: 24 + -30 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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