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Simplifying 6(x + -1) + -1(6x + 4) = 4(5x + 2) Reorder the terms: 6(-1 + x) + -1(6x + 4) = 4(5x + 2) (-1 * 6 + x * 6) + -1(6x + 4) = 4(5x + 2) (-6 + 6x) + -1(6x + 4) = 4(5x + 2) Reorder the terms: -6 + 6x + -1(4 + 6x) = 4(5x + 2) -6 + 6x + (4 * -1 + 6x * -1) = 4(5x + 2) -6 + 6x + (-4 + -6x) = 4(5x + 2) Reorder the terms: -6 + -4 + 6x + -6x = 4(5x + 2) Combine like terms: -6 + -4 = -10 -10 + 6x + -6x = 4(5x + 2) Combine like terms: 6x + -6x = 0 -10 + 0 = 4(5x + 2) -10 = 4(5x + 2) Reorder the terms: -10 = 4(2 + 5x) -10 = (2 * 4 + 5x * 4) -10 = (8 + 20x) Solving -10 = 8 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -10 + -20x = 8 + 20x + -20x Combine like terms: 20x + -20x = 0 -10 + -20x = 8 + 0 -10 + -20x = 8 Add '10' to each side of the equation. -10 + 10 + -20x = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -20x = 8 + 10 -20x = 8 + 10 Combine like terms: 8 + 10 = 18 -20x = 18 Divide each side by '-20'. x = -0.9 Simplifying x = -0.9
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