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Simplifying 10(2x + -6) + -6(4 + -2x) + 10(-3x + 7) = -4(6 + -7x) Reorder the terms: 10(-6 + 2x) + -6(4 + -2x) + 10(-3x + 7) = -4(6 + -7x) (-6 * 10 + 2x * 10) + -6(4 + -2x) + 10(-3x + 7) = -4(6 + -7x) (-60 + 20x) + -6(4 + -2x) + 10(-3x + 7) = -4(6 + -7x) -60 + 20x + (4 * -6 + -2x * -6) + 10(-3x + 7) = -4(6 + -7x) -60 + 20x + (-24 + 12x) + 10(-3x + 7) = -4(6 + -7x) Reorder the terms: -60 + 20x + -24 + 12x + 10(7 + -3x) = -4(6 + -7x) -60 + 20x + -24 + 12x + (7 * 10 + -3x * 10) = -4(6 + -7x) -60 + 20x + -24 + 12x + (70 + -30x) = -4(6 + -7x) Reorder the terms: -60 + -24 + 70 + 20x + 12x + -30x = -4(6 + -7x) Combine like terms: -60 + -24 = -84 -84 + 70 + 20x + 12x + -30x = -4(6 + -7x) Combine like terms: -84 + 70 = -14 -14 + 20x + 12x + -30x = -4(6 + -7x) Combine like terms: 20x + 12x = 32x -14 + 32x + -30x = -4(6 + -7x) Combine like terms: 32x + -30x = 2x -14 + 2x = -4(6 + -7x) -14 + 2x = (6 * -4 + -7x * -4) -14 + 2x = (-24 + 28x) Solving -14 + 2x = -24 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -14 + 2x + -28x = -24 + 28x + -28x Combine like terms: 2x + -28x = -26x -14 + -26x = -24 + 28x + -28x Combine like terms: 28x + -28x = 0 -14 + -26x = -24 + 0 -14 + -26x = -24 Add '14' to each side of the equation. -14 + 14 + -26x = -24 + 14 Combine like terms: -14 + 14 = 0 0 + -26x = -24 + 14 -26x = -24 + 14 Combine like terms: -24 + 14 = -10 -26x = -10 Divide each side by '-26'. x = 0.3846153846 Simplifying x = 0.3846153846
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