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Simplifying 3(x + -2) = x + 7 + -5(-2x + -1) Reorder the terms: 3(-2 + x) = x + 7 + -5(-2x + -1) (-2 * 3 + x * 3) = x + 7 + -5(-2x + -1) (-6 + 3x) = x + 7 + -5(-2x + -1) Reorder the terms: -6 + 3x = x + 7 + -5(-1 + -2x) -6 + 3x = x + 7 + (-1 * -5 + -2x * -5) -6 + 3x = x + 7 + (5 + 10x) Reorder the terms: -6 + 3x = 7 + 5 + x + 10x Combine like terms: 7 + 5 = 12 -6 + 3x = 12 + x + 10x Combine like terms: x + 10x = 11x -6 + 3x = 12 + 11x Solving -6 + 3x = 12 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -6 + 3x + -11x = 12 + 11x + -11x Combine like terms: 3x + -11x = -8x -6 + -8x = 12 + 11x + -11x Combine like terms: 11x + -11x = 0 -6 + -8x = 12 + 0 -6 + -8x = 12 Add '6' to each side of the equation. -6 + 6 + -8x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = 12 + 6 -8x = 12 + 6 Combine like terms: 12 + 6 = 18 -8x = 18 Divide each side by '-8'. x = -2.25 Simplifying x = -2.25
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