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Simplifying -3(2x + -6) + -1(5x + 4) = -2(-2x + 1) Reorder the terms: -3(-6 + 2x) + -1(5x + 4) = -2(-2x + 1) (-6 * -3 + 2x * -3) + -1(5x + 4) = -2(-2x + 1) (18 + -6x) + -1(5x + 4) = -2(-2x + 1) Reorder the terms: 18 + -6x + -1(4 + 5x) = -2(-2x + 1) 18 + -6x + (4 * -1 + 5x * -1) = -2(-2x + 1) 18 + -6x + (-4 + -5x) = -2(-2x + 1) Reorder the terms: 18 + -4 + -6x + -5x = -2(-2x + 1) Combine like terms: 18 + -4 = 14 14 + -6x + -5x = -2(-2x + 1) Combine like terms: -6x + -5x = -11x 14 + -11x = -2(-2x + 1) Reorder the terms: 14 + -11x = -2(1 + -2x) 14 + -11x = (1 * -2 + -2x * -2) 14 + -11x = (-2 + 4x) Solving 14 + -11x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 14 + -11x + -4x = -2 + 4x + -4x Combine like terms: -11x + -4x = -15x 14 + -15x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + -15x = -2 + 0 14 + -15x = -2 Add '-14' to each side of the equation. 14 + -14 + -15x = -2 + -14 Combine like terms: 14 + -14 = 0 0 + -15x = -2 + -14 -15x = -2 + -14 Combine like terms: -2 + -14 = -16 -15x = -16 Divide each side by '-15'. x = 1.066666667 Simplifying x = 1.066666667
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