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Simplifying 2(x + 7) + -6 = 4(x + 5) * 3 Reorder the terms: 2(7 + x) + -6 = 4(x + 5) * 3 (7 * 2 + x * 2) + -6 = 4(x + 5) * 3 (14 + 2x) + -6 = 4(x + 5) * 3 Reorder the terms: 14 + -6 + 2x = 4(x + 5) * 3 Combine like terms: 14 + -6 = 8 8 + 2x = 4(x + 5) * 3 Reorder the terms: 8 + 2x = 4(5 + x) * 3 Reorder the terms for easier multiplication: 8 + 2x = 4 * 3(5 + x) Multiply 4 * 3 8 + 2x = 12(5 + x) 8 + 2x = (5 * 12 + x * 12) 8 + 2x = (60 + 12x) Solving 8 + 2x = 60 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 8 + 2x + -12x = 60 + 12x + -12x Combine like terms: 2x + -12x = -10x 8 + -10x = 60 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + -10x = 60 + 0 8 + -10x = 60 Add '-8' to each side of the equation. 8 + -8 + -10x = 60 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = 60 + -8 -10x = 60 + -8 Combine like terms: 60 + -8 = 52 -10x = 52 Divide each side by '-10'. x = -5.2 Simplifying x = -5.2
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