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Simplifying 6(2 + -3x) = 5x + -1(2x + -7) (2 * 6 + -3x * 6) = 5x + -1(2x + -7) (12 + -18x) = 5x + -1(2x + -7) Reorder the terms: 12 + -18x = 5x + -1(-7 + 2x) 12 + -18x = 5x + (-7 * -1 + 2x * -1) 12 + -18x = 5x + (7 + -2x) Reorder the terms: 12 + -18x = 7 + 5x + -2x Combine like terms: 5x + -2x = 3x 12 + -18x = 7 + 3x Solving 12 + -18x = 7 + 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. 12 + -18x + -3x = 7 + 3x + -3x Combine like terms: -18x + -3x = -21x 12 + -21x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -21x = 7 + 0 12 + -21x = 7 Add '-12' to each side of the equation. 12 + -12 + -21x = 7 + -12 Combine like terms: 12 + -12 = 0 0 + -21x = 7 + -12 -21x = 7 + -12 Combine like terms: 7 + -12 = -5 -21x = -5 Divide each side by '-21'. x = 0.2380952381 Simplifying x = 0.2380952381
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