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Simplifying 15(2x + 3) + -14(x + 2) = 0.5(12x + -80) Reorder the terms: 15(3 + 2x) + -14(x + 2) = 0.5(12x + -80) (3 * 15 + 2x * 15) + -14(x + 2) = 0.5(12x + -80) (45 + 30x) + -14(x + 2) = 0.5(12x + -80) Reorder the terms: 45 + 30x + -14(2 + x) = 0.5(12x + -80) 45 + 30x + (2 * -14 + x * -14) = 0.5(12x + -80) 45 + 30x + (-28 + -14x) = 0.5(12x + -80) Reorder the terms: 45 + -28 + 30x + -14x = 0.5(12x + -80) Combine like terms: 45 + -28 = 17 17 + 30x + -14x = 0.5(12x + -80) Combine like terms: 30x + -14x = 16x 17 + 16x = 0.5(12x + -80) Reorder the terms: 17 + 16x = 0.5(-80 + 12x) 17 + 16x = (-80 * 0.5 + 12x * 0.5) 17 + 16x = (-40 + 6x) Solving 17 + 16x = -40 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 17 + 16x + -6x = -40 + 6x + -6x Combine like terms: 16x + -6x = 10x 17 + 10x = -40 + 6x + -6x Combine like terms: 6x + -6x = 0 17 + 10x = -40 + 0 17 + 10x = -40 Add '-17' to each side of the equation. 17 + -17 + 10x = -40 + -17 Combine like terms: 17 + -17 = 0 0 + 10x = -40 + -17 10x = -40 + -17 Combine like terms: -40 + -17 = -57 10x = -57 Divide each side by '10'. x = -5.7 Simplifying x = -5.7
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