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Simplifying -1(15x + -75) = 6(2x + -1) Reorder the terms: -1(-75 + 15x) = 6(2x + -1) (-75 * -1 + 15x * -1) = 6(2x + -1) (75 + -15x) = 6(2x + -1) Reorder the terms: 75 + -15x = 6(-1 + 2x) 75 + -15x = (-1 * 6 + 2x * 6) 75 + -15x = (-6 + 12x) Solving 75 + -15x = -6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 75 + -15x + -12x = -6 + 12x + -12x Combine like terms: -15x + -12x = -27x 75 + -27x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 75 + -27x = -6 + 0 75 + -27x = -6 Add '-75' to each side of the equation. 75 + -75 + -27x = -6 + -75 Combine like terms: 75 + -75 = 0 0 + -27x = -6 + -75 -27x = -6 + -75 Combine like terms: -6 + -75 = -81 -27x = -81 Divide each side by '-27'. x = 3 Simplifying x = 3
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