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Simplifying 5(x + -2) + -1(x + -6) = 10x + -9 Reorder the terms: 5(-2 + x) + -1(x + -6) = 10x + -9 (-2 * 5 + x * 5) + -1(x + -6) = 10x + -9 (-10 + 5x) + -1(x + -6) = 10x + -9 Reorder the terms: -10 + 5x + -1(-6 + x) = 10x + -9 -10 + 5x + (-6 * -1 + x * -1) = 10x + -9 -10 + 5x + (6 + -1x) = 10x + -9 Reorder the terms: -10 + 6 + 5x + -1x = 10x + -9 Combine like terms: -10 + 6 = -4 -4 + 5x + -1x = 10x + -9 Combine like terms: 5x + -1x = 4x -4 + 4x = 10x + -9 Reorder the terms: -4 + 4x = -9 + 10x Solving -4 + 4x = -9 + 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. -4 + 4x + -10x = -9 + 10x + -10x Combine like terms: 4x + -10x = -6x -4 + -6x = -9 + 10x + -10x Combine like terms: 10x + -10x = 0 -4 + -6x = -9 + 0 -4 + -6x = -9 Add '4' to each side of the equation. -4 + 4 + -6x = -9 + 4 Combine like terms: -4 + 4 = 0 0 + -6x = -9 + 4 -6x = -9 + 4 Combine like terms: -9 + 4 = -5 -6x = -5 Divide each side by '-6'. x = 0.8333333333 Simplifying x = 0.8333333333
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