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Simplifying -6(1 + x) + x = -24 + -2x (1 * -6 + x * -6) + x = -24 + -2x (-6 + -6x) + x = -24 + -2x Combine like terms: -6x + x = -5x -6 + -5x = -24 + -2x Solving -6 + -5x = -24 + -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 + -5x + 2x = -24 + -2x + 2x Combine like terms: -5x + 2x = -3x -6 + -3x = -24 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + -3x = -24 + 0 -6 + -3x = -24 Add '6' to each side of the equation. -6 + 6 + -3x = -24 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = -24 + 6 -3x = -24 + 6 Combine like terms: -24 + 6 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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