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Simplifying 8(x + -2) + -1(x + -6) = 6(x + -1) Reorder the terms: 8(-2 + x) + -1(x + -6) = 6(x + -1) (-2 * 8 + x * 8) + -1(x + -6) = 6(x + -1) (-16 + 8x) + -1(x + -6) = 6(x + -1) Reorder the terms: -16 + 8x + -1(-6 + x) = 6(x + -1) -16 + 8x + (-6 * -1 + x * -1) = 6(x + -1) -16 + 8x + (6 + -1x) = 6(x + -1) Reorder the terms: -16 + 6 + 8x + -1x = 6(x + -1) Combine like terms: -16 + 6 = -10 -10 + 8x + -1x = 6(x + -1) Combine like terms: 8x + -1x = 7x -10 + 7x = 6(x + -1) Reorder the terms: -10 + 7x = 6(-1 + x) -10 + 7x = (-1 * 6 + x * 6) -10 + 7x = (-6 + 6x) Solving -10 + 7x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -10 + 7x + -6x = -6 + 6x + -6x Combine like terms: 7x + -6x = 1x -10 + 1x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + 1x = -6 + 0 -10 + 1x = -6 Add '10' to each side of the equation. -10 + 10 + 1x = -6 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -6 + 10 1x = -6 + 10 Combine like terms: -6 + 10 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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