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Simplifying 5(x + -4) + -6 = -2(3x + 1) + -2 Reorder the terms: 5(-4 + x) + -6 = -2(3x + 1) + -2 (-4 * 5 + x * 5) + -6 = -2(3x + 1) + -2 (-20 + 5x) + -6 = -2(3x + 1) + -2 Reorder the terms: -20 + -6 + 5x = -2(3x + 1) + -2 Combine like terms: -20 + -6 = -26 -26 + 5x = -2(3x + 1) + -2 Reorder the terms: -26 + 5x = -2(1 + 3x) + -2 -26 + 5x = (1 * -2 + 3x * -2) + -2 -26 + 5x = (-2 + -6x) + -2 Reorder the terms: -26 + 5x = -2 + -2 + -6x Combine like terms: -2 + -2 = -4 -26 + 5x = -4 + -6x Solving -26 + 5x = -4 + -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. -26 + 5x + 6x = -4 + -6x + 6x Combine like terms: 5x + 6x = 11x -26 + 11x = -4 + -6x + 6x Combine like terms: -6x + 6x = 0 -26 + 11x = -4 + 0 -26 + 11x = -4 Add '26' to each side of the equation. -26 + 26 + 11x = -4 + 26 Combine like terms: -26 + 26 = 0 0 + 11x = -4 + 26 11x = -4 + 26 Combine like terms: -4 + 26 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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