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Simplifying 8 + -4(7 + 6x) = 2(5x + -6) + -8x 8 + (7 * -4 + 6x * -4) = 2(5x + -6) + -8x 8 + (-28 + -24x) = 2(5x + -6) + -8x Combine like terms: 8 + -28 = -20 -20 + -24x = 2(5x + -6) + -8x Reorder the terms: -20 + -24x = 2(-6 + 5x) + -8x -20 + -24x = (-6 * 2 + 5x * 2) + -8x -20 + -24x = (-12 + 10x) + -8x Combine like terms: 10x + -8x = 2x -20 + -24x = -12 + 2x Solving -20 + -24x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -20 + -24x + -2x = -12 + 2x + -2x Combine like terms: -24x + -2x = -26x -20 + -26x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + -26x = -12 + 0 -20 + -26x = -12 Add '20' to each side of the equation. -20 + 20 + -26x = -12 + 20 Combine like terms: -20 + 20 = 0 0 + -26x = -12 + 20 -26x = -12 + 20 Combine like terms: -12 + 20 = 8 -26x = 8 Divide each side by '-26'. x = -0.3076923077 Simplifying x = -0.3076923077
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