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Simplifying 10 + -2(2.5 + -13.5x) + -6x = 140 + -1(11x + 7) 10 + (2.5 * -2 + -13.5x * -2) + -6x = 140 + -1(11x + 7) 10 + (-5 + 27x) + -6x = 140 + -1(11x + 7) Combine like terms: 10 + -5 = 5 5 + 27x + -6x = 140 + -1(11x + 7) Combine like terms: 27x + -6x = 21x 5 + 21x = 140 + -1(11x + 7) Reorder the terms: 5 + 21x = 140 + -1(7 + 11x) 5 + 21x = 140 + (7 * -1 + 11x * -1) 5 + 21x = 140 + (-7 + -11x) Combine like terms: 140 + -7 = 133 5 + 21x = 133 + -11x Solving 5 + 21x = 133 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 5 + 21x + 11x = 133 + -11x + 11x Combine like terms: 21x + 11x = 32x 5 + 32x = 133 + -11x + 11x Combine like terms: -11x + 11x = 0 5 + 32x = 133 + 0 5 + 32x = 133 Add '-5' to each side of the equation. 5 + -5 + 32x = 133 + -5 Combine like terms: 5 + -5 = 0 0 + 32x = 133 + -5 32x = 133 + -5 Combine like terms: 133 + -5 = 128 32x = 128 Divide each side by '32'. x = 4 Simplifying x = 4
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