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Simplifying 5 + -2(6x + 1) = (4x + -5)(2) + -7 Reorder the terms: 5 + -2(1 + 6x) = (4x + -5)(2) + -7 5 + (1 * -2 + 6x * -2) = (4x + -5)(2) + -7 5 + (-2 + -12x) = (4x + -5)(2) + -7 Combine like terms: 5 + -2 = 3 3 + -12x = (4x + -5)(2) + -7 Reorder the terms: 3 + -12x = (-5 + 4x)(2) + -7 Reorder the terms for easier multiplication: 3 + -12x = 2(-5 + 4x) + -7 3 + -12x = (-5 * 2 + 4x * 2) + -7 3 + -12x = (-10 + 8x) + -7 Reorder the terms: 3 + -12x = -10 + -7 + 8x Combine like terms: -10 + -7 = -17 3 + -12x = -17 + 8x Solving 3 + -12x = -17 + 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. 3 + -12x + -8x = -17 + 8x + -8x Combine like terms: -12x + -8x = -20x 3 + -20x = -17 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -20x = -17 + 0 3 + -20x = -17 Add '-3' to each side of the equation. 3 + -3 + -20x = -17 + -3 Combine like terms: 3 + -3 = 0 0 + -20x = -17 + -3 -20x = -17 + -3 Combine like terms: -17 + -3 = -20 -20x = -20 Divide each side by '-20'. x = 1 Simplifying x = 1
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