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Simplifying -12 + 7(x + 3) = 4(2x + -1 + 3) Reorder the terms: -12 + 7(3 + x) = 4(2x + -1 + 3) -12 + (3 * 7 + x * 7) = 4(2x + -1 + 3) -12 + (21 + 7x) = 4(2x + -1 + 3) Combine like terms: -12 + 21 = 9 9 + 7x = 4(2x + -1 + 3) Reorder the terms: 9 + 7x = 4(-1 + 3 + 2x) Combine like terms: -1 + 3 = 2 9 + 7x = 4(2 + 2x) 9 + 7x = (2 * 4 + 2x * 4) 9 + 7x = (8 + 8x) Solving 9 + 7x = 8 + 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. 9 + 7x + -8x = 8 + 8x + -8x Combine like terms: 7x + -8x = -1x 9 + -1x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 9 + -1x = 8 + 0 9 + -1x = 8 Add '-9' to each side of the equation. 9 + -9 + -1x = 8 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 8 + -9 -1x = 8 + -9 Combine like terms: 8 + -9 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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