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Simplifying 2(9x + 10) = -5(-3x + 8) Reorder the terms: 2(10 + 9x) = -5(-3x + 8) (10 * 2 + 9x * 2) = -5(-3x + 8) (20 + 18x) = -5(-3x + 8) Reorder the terms: 20 + 18x = -5(8 + -3x) 20 + 18x = (8 * -5 + -3x * -5) 20 + 18x = (-40 + 15x) Solving 20 + 18x = -40 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 20 + 18x + -15x = -40 + 15x + -15x Combine like terms: 18x + -15x = 3x 20 + 3x = -40 + 15x + -15x Combine like terms: 15x + -15x = 0 20 + 3x = -40 + 0 20 + 3x = -40 Add '-20' to each side of the equation. 20 + -20 + 3x = -40 + -20 Combine like terms: 20 + -20 = 0 0 + 3x = -40 + -20 3x = -40 + -20 Combine like terms: -40 + -20 = -60 3x = -60 Divide each side by '3'. x = -20 Simplifying x = -20
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