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Simplifying 6(2x + 7) + -2(6x + -5) = 3x + -2 Reorder the terms: 6(7 + 2x) + -2(6x + -5) = 3x + -2 (7 * 6 + 2x * 6) + -2(6x + -5) = 3x + -2 (42 + 12x) + -2(6x + -5) = 3x + -2 Reorder the terms: 42 + 12x + -2(-5 + 6x) = 3x + -2 42 + 12x + (-5 * -2 + 6x * -2) = 3x + -2 42 + 12x + (10 + -12x) = 3x + -2 Reorder the terms: 42 + 10 + 12x + -12x = 3x + -2 Combine like terms: 42 + 10 = 52 52 + 12x + -12x = 3x + -2 Combine like terms: 12x + -12x = 0 52 + 0 = 3x + -2 52 = 3x + -2 Reorder the terms: 52 = -2 + 3x Solving 52 = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 52 + -3x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 52 + -3x = -2 + 0 52 + -3x = -2 Add '-52' to each side of the equation. 52 + -52 + -3x = -2 + -52 Combine like terms: 52 + -52 = 0 0 + -3x = -2 + -52 -3x = -2 + -52 Combine like terms: -2 + -52 = -54 -3x = -54 Divide each side by '-3'. x = 18 Simplifying x = 18
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