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Simplifying 9x + -1(6 + -1x) = 2(x + -3) + 10 9x + (6 * -1 + -1x * -1) = 2(x + -3) + 10 9x + (-6 + 1x) = 2(x + -3) + 10 Reorder the terms: -6 + 9x + 1x = 2(x + -3) + 10 Combine like terms: 9x + 1x = 10x -6 + 10x = 2(x + -3) + 10 Reorder the terms: -6 + 10x = 2(-3 + x) + 10 -6 + 10x = (-3 * 2 + x * 2) + 10 -6 + 10x = (-6 + 2x) + 10 Reorder the terms: -6 + 10x = -6 + 10 + 2x Combine like terms: -6 + 10 = 4 -6 + 10x = 4 + 2x Solving -6 + 10x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 10x + -2x = 4 + 2x + -2x Combine like terms: 10x + -2x = 8x -6 + 8x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 8x = 4 + 0 -6 + 8x = 4 Add '6' to each side of the equation. -6 + 6 + 8x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 4 + 6 8x = 4 + 6 Combine like terms: 4 + 6 = 10 8x = 10 Divide each side by '8'. x = 1.25 Simplifying x = 1.25
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