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Simplifying 6x + -1(24 + -3x) = x + -1(2x + -6) 6x + (24 * -1 + -3x * -1) = x + -1(2x + -6) 6x + (-24 + 3x) = x + -1(2x + -6) Reorder the terms: -24 + 6x + 3x = x + -1(2x + -6) Combine like terms: 6x + 3x = 9x -24 + 9x = x + -1(2x + -6) Reorder the terms: -24 + 9x = x + -1(-6 + 2x) -24 + 9x = x + (-6 * -1 + 2x * -1) -24 + 9x = x + (6 + -2x) Reorder the terms: -24 + 9x = 6 + x + -2x Combine like terms: x + -2x = -1x -24 + 9x = 6 + -1x Solving -24 + 9x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -24 + 9x + x = 6 + -1x + x Combine like terms: 9x + x = 10x -24 + 10x = 6 + -1x + x Combine like terms: -1x + x = 0 -24 + 10x = 6 + 0 -24 + 10x = 6 Add '24' to each side of the equation. -24 + 24 + 10x = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 10x = 6 + 24 10x = 6 + 24 Combine like terms: 6 + 24 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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