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Simplifying 2(2 + -1x) + -6(3x + -10) = -5x + -36 (2 * 2 + -1x * 2) + -6(3x + -10) = -5x + -36 (4 + -2x) + -6(3x + -10) = -5x + -36 Reorder the terms: 4 + -2x + -6(-10 + 3x) = -5x + -36 4 + -2x + (-10 * -6 + 3x * -6) = -5x + -36 4 + -2x + (60 + -18x) = -5x + -36 Reorder the terms: 4 + 60 + -2x + -18x = -5x + -36 Combine like terms: 4 + 60 = 64 64 + -2x + -18x = -5x + -36 Combine like terms: -2x + -18x = -20x 64 + -20x = -5x + -36 Reorder the terms: 64 + -20x = -36 + -5x Solving 64 + -20x = -36 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 64 + -20x + 5x = -36 + -5x + 5x Combine like terms: -20x + 5x = -15x 64 + -15x = -36 + -5x + 5x Combine like terms: -5x + 5x = 0 64 + -15x = -36 + 0 64 + -15x = -36 Add '-64' to each side of the equation. 64 + -64 + -15x = -36 + -64 Combine like terms: 64 + -64 = 0 0 + -15x = -36 + -64 -15x = -36 + -64 Combine like terms: -36 + -64 = -100 -15x = -100 Divide each side by '-15'. x = 6.666666667 Simplifying x = 6.666666667
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