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Simplifying -3(4x + -5) = 0.5(2x + -6) Reorder the terms: -3(-5 + 4x) = 0.5(2x + -6) (-5 * -3 + 4x * -3) = 0.5(2x + -6) (15 + -12x) = 0.5(2x + -6) Reorder the terms: 15 + -12x = 0.5(-6 + 2x) 15 + -12x = (-6 * 0.5 + 2x * 0.5) 15 + -12x = (-3 + 1x) Solving 15 + -12x = -3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 15 + -12x + -1x = -3 + 1x + -1x Combine like terms: -12x + -1x = -13x 15 + -13x = -3 + 1x + -1x Combine like terms: 1x + -1x = 0 15 + -13x = -3 + 0 15 + -13x = -3 Add '-15' to each side of the equation. 15 + -15 + -13x = -3 + -15 Combine like terms: 15 + -15 = 0 0 + -13x = -3 + -15 -13x = -3 + -15 Combine like terms: -3 + -15 = -18 -13x = -18 Divide each side by '-13'. x = 1.384615385 Simplifying x = 1.384615385
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