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Simplifying 4(x + 5) = -2(8x + -6) + 6x Reorder the terms: 4(5 + x) = -2(8x + -6) + 6x (5 * 4 + x * 4) = -2(8x + -6) + 6x (20 + 4x) = -2(8x + -6) + 6x Reorder the terms: 20 + 4x = -2(-6 + 8x) + 6x 20 + 4x = (-6 * -2 + 8x * -2) + 6x 20 + 4x = (12 + -16x) + 6x Combine like terms: -16x + 6x = -10x 20 + 4x = 12 + -10x Solving 20 + 4x = 12 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 20 + 4x + 10x = 12 + -10x + 10x Combine like terms: 4x + 10x = 14x 20 + 14x = 12 + -10x + 10x Combine like terms: -10x + 10x = 0 20 + 14x = 12 + 0 20 + 14x = 12 Add '-20' to each side of the equation. 20 + -20 + 14x = 12 + -20 Combine like terms: 20 + -20 = 0 0 + 14x = 12 + -20 14x = 12 + -20 Combine like terms: 12 + -20 = -8 14x = -8 Divide each side by '14'. x = -0.5714285714 Simplifying x = -0.5714285714
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