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Simplifying -2(3x + 5) = 3 + -1(x + -7) Reorder the terms: -2(5 + 3x) = 3 + -1(x + -7) (5 * -2 + 3x * -2) = 3 + -1(x + -7) (-10 + -6x) = 3 + -1(x + -7) Reorder the terms: -10 + -6x = 3 + -1(-7 + x) -10 + -6x = 3 + (-7 * -1 + x * -1) -10 + -6x = 3 + (7 + -1x) Combine like terms: 3 + 7 = 10 -10 + -6x = 10 + -1x Solving -10 + -6x = 10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -10 + -6x + x = 10 + -1x + x Combine like terms: -6x + x = -5x -10 + -5x = 10 + -1x + x Combine like terms: -1x + x = 0 -10 + -5x = 10 + 0 -10 + -5x = 10 Add '10' to each side of the equation. -10 + 10 + -5x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -5x = 10 + 10 -5x = 10 + 10 Combine like terms: 10 + 10 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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