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Simplifying 6 + -1(-12x + -16) = 16 + -1(18x + -7) Reorder the terms: 6 + -1(-16 + -12x) = 16 + -1(18x + -7) 6 + (-16 * -1 + -12x * -1) = 16 + -1(18x + -7) 6 + (16 + 12x) = 16 + -1(18x + -7) Combine like terms: 6 + 16 = 22 22 + 12x = 16 + -1(18x + -7) Reorder the terms: 22 + 12x = 16 + -1(-7 + 18x) 22 + 12x = 16 + (-7 * -1 + 18x * -1) 22 + 12x = 16 + (7 + -18x) Combine like terms: 16 + 7 = 23 22 + 12x = 23 + -18x Solving 22 + 12x = 23 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 22 + 12x + 18x = 23 + -18x + 18x Combine like terms: 12x + 18x = 30x 22 + 30x = 23 + -18x + 18x Combine like terms: -18x + 18x = 0 22 + 30x = 23 + 0 22 + 30x = 23 Add '-22' to each side of the equation. 22 + -22 + 30x = 23 + -22 Combine like terms: 22 + -22 = 0 0 + 30x = 23 + -22 30x = 23 + -22 Combine like terms: 23 + -22 = 1 30x = 1 Divide each side by '30'. x = 0.03333333333 Simplifying x = 0.03333333333
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