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Simplifying 3x + -7 = 8 + 6(x + 12) Reorder the terms: -7 + 3x = 8 + 6(x + 12) Reorder the terms: -7 + 3x = 8 + 6(12 + x) -7 + 3x = 8 + (12 * 6 + x * 6) -7 + 3x = 8 + (72 + 6x) Combine like terms: 8 + 72 = 80 -7 + 3x = 80 + 6x Solving -7 + 3x = 80 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -7 + 3x + -6x = 80 + 6x + -6x Combine like terms: 3x + -6x = -3x -7 + -3x = 80 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -3x = 80 + 0 -7 + -3x = 80 Add '7' to each side of the equation. -7 + 7 + -3x = 80 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 80 + 7 -3x = 80 + 7 Combine like terms: 80 + 7 = 87 -3x = 87 Divide each side by '-3'. x = -29 Simplifying x = -29
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