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Simplifying -5 + -1(x + 8) = 6x + 4(x + 2) Reorder the terms: -5 + -1(8 + x) = 6x + 4(x + 2) -5 + (8 * -1 + x * -1) = 6x + 4(x + 2) -5 + (-8 + -1x) = 6x + 4(x + 2) Combine like terms: -5 + -8 = -13 -13 + -1x = 6x + 4(x + 2) Reorder the terms: -13 + -1x = 6x + 4(2 + x) -13 + -1x = 6x + (2 * 4 + x * 4) -13 + -1x = 6x + (8 + 4x) Reorder the terms: -13 + -1x = 8 + 6x + 4x Combine like terms: 6x + 4x = 10x -13 + -1x = 8 + 10x Solving -13 + -1x = 8 + 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. -13 + -1x + -10x = 8 + 10x + -10x Combine like terms: -1x + -10x = -11x -13 + -11x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 -13 + -11x = 8 + 0 -13 + -11x = 8 Add '13' to each side of the equation. -13 + 13 + -11x = 8 + 13 Combine like terms: -13 + 13 = 0 0 + -11x = 8 + 13 -11x = 8 + 13 Combine like terms: 8 + 13 = 21 -11x = 21 Divide each side by '-11'. x = -1.909090909 Simplifying x = -1.909090909
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