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Simplifying 6x + -2(2 + -3x) = 5(x + -5) + -7 6x + (2 * -2 + -3x * -2) = 5(x + -5) + -7 6x + (-4 + 6x) = 5(x + -5) + -7 Reorder the terms: -4 + 6x + 6x = 5(x + -5) + -7 Combine like terms: 6x + 6x = 12x -4 + 12x = 5(x + -5) + -7 Reorder the terms: -4 + 12x = 5(-5 + x) + -7 -4 + 12x = (-5 * 5 + x * 5) + -7 -4 + 12x = (-25 + 5x) + -7 Reorder the terms: -4 + 12x = -25 + -7 + 5x Combine like terms: -25 + -7 = -32 -4 + 12x = -32 + 5x Solving -4 + 12x = -32 + 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. -4 + 12x + -5x = -32 + 5x + -5x Combine like terms: 12x + -5x = 7x -4 + 7x = -32 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 7x = -32 + 0 -4 + 7x = -32 Add '4' to each side of the equation. -4 + 4 + 7x = -32 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = -32 + 4 7x = -32 + 4 Combine like terms: -32 + 4 = -28 7x = -28 Divide each side by '7'. x = -4 Simplifying x = -4
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