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Simplifying -7(6 + -1x) + -5x = -24 + 5x (6 * -7 + -1x * -7) + -5x = -24 + 5x (-42 + 7x) + -5x = -24 + 5x Combine like terms: 7x + -5x = 2x -42 + 2x = -24 + 5x Solving -42 + 2x = -24 + 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. -42 + 2x + -5x = -24 + 5x + -5x Combine like terms: 2x + -5x = -3x -42 + -3x = -24 + 5x + -5x Combine like terms: 5x + -5x = 0 -42 + -3x = -24 + 0 -42 + -3x = -24 Add '42' to each side of the equation. -42 + 42 + -3x = -24 + 42 Combine like terms: -42 + 42 = 0 0 + -3x = -24 + 42 -3x = -24 + 42 Combine like terms: -24 + 42 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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