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Simplifying -7(2x + -5) = 0.5(-12x + 30) Reorder the terms: -7(-5 + 2x) = 0.5(-12x + 30) (-5 * -7 + 2x * -7) = 0.5(-12x + 30) (35 + -14x) = 0.5(-12x + 30) Reorder the terms: 35 + -14x = 0.5(30 + -12x) 35 + -14x = (30 * 0.5 + -12x * 0.5) 35 + -14x = (15 + -6x) Solving 35 + -14x = 15 + -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. 35 + -14x + 6x = 15 + -6x + 6x Combine like terms: -14x + 6x = -8x 35 + -8x = 15 + -6x + 6x Combine like terms: -6x + 6x = 0 35 + -8x = 15 + 0 35 + -8x = 15 Add '-35' to each side of the equation. 35 + -35 + -8x = 15 + -35 Combine like terms: 35 + -35 = 0 0 + -8x = 15 + -35 -8x = 15 + -35 Combine like terms: 15 + -35 = -20 -8x = -20 Divide each side by '-8'. x = 2.5 Simplifying x = 2.5
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