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Simplifying 12 + 20x = 5(8x + (-7)) + x 12 + 20x = 5(8x + -7) + x Reorder the terms: 12 + 20x = 5(-7 + 8x) + x 12 + 20x = (-7 * 5 + 8x * 5) + x 12 + 20x = (-35 + 40x) + x Combine like terms: 40x + x = 41x 12 + 20x = -35 + 41x Solving 12 + 20x = -35 + 41x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41x' to each side of the equation. 12 + 20x + -41x = -35 + 41x + -41x Combine like terms: 20x + -41x = -21x 12 + -21x = -35 + 41x + -41x Combine like terms: 41x + -41x = 0 12 + -21x = -35 + 0 12 + -21x = -35 Add '-12' to each side of the equation. 12 + -12 + -21x = -35 + -12 Combine like terms: 12 + -12 = 0 0 + -21x = -35 + -12 -21x = -35 + -12 Combine like terms: -35 + -12 = -47 -21x = -47 Divide each side by '-21'. x = 2.238095238 Simplifying x = 2.238095238
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