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Simplifying 3x + -7 + -5(2x + 1) = -1x + (6x + 24) Reorder the terms: 3x + -7 + -5(1 + 2x) = -1x + (6x + 24) 3x + -7 + (1 * -5 + 2x * -5) = -1x + (6x + 24) 3x + -7 + (-5 + -10x) = -1x + (6x + 24) Reorder the terms: -7 + -5 + 3x + -10x = -1x + (6x + 24) Combine like terms: -7 + -5 = -12 -12 + 3x + -10x = -1x + (6x + 24) Combine like terms: 3x + -10x = -7x -12 + -7x = -1x + (6x + 24) Reorder the terms: -12 + -7x = -1x + (24 + 6x) Remove parenthesis around (24 + 6x) -12 + -7x = -1x + 24 + 6x Reorder the terms: -12 + -7x = 24 + -1x + 6x Combine like terms: -1x + 6x = 5x -12 + -7x = 24 + 5x Solving -12 + -7x = 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. -12 + -7x + -5x = 24 + 5x + -5x Combine like terms: -7x + -5x = -12x -12 + -12x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -12x = 24 + 0 -12 + -12x = 24 Add '12' to each side of the equation. -12 + 12 + -12x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -12x = 24 + 12 -12x = 24 + 12 Combine like terms: 24 + 12 = 36 -12x = 36 Divide each side by '-12'. x = -3 Simplifying x = -3
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