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Simplifying 6(x + -1) + 2(x + -1) = 10 + -5x Reorder the terms: 6(-1 + x) + 2(x + -1) = 10 + -5x (-1 * 6 + x * 6) + 2(x + -1) = 10 + -5x (-6 + 6x) + 2(x + -1) = 10 + -5x Reorder the terms: -6 + 6x + 2(-1 + x) = 10 + -5x -6 + 6x + (-1 * 2 + x * 2) = 10 + -5x -6 + 6x + (-2 + 2x) = 10 + -5x Reorder the terms: -6 + -2 + 6x + 2x = 10 + -5x Combine like terms: -6 + -2 = -8 -8 + 6x + 2x = 10 + -5x Combine like terms: 6x + 2x = 8x -8 + 8x = 10 + -5x Solving -8 + 8x = 10 + -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. -8 + 8x + 5x = 10 + -5x + 5x Combine like terms: 8x + 5x = 13x -8 + 13x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 -8 + 13x = 10 + 0 -8 + 13x = 10 Add '8' to each side of the equation. -8 + 8 + 13x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 13x = 10 + 8 13x = 10 + 8 Combine like terms: 10 + 8 = 18 13x = 18 Divide each side by '13'. x = 1.384615385 Simplifying x = 1.384615385
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