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Simplifying 2(x + -5) = 6 + -1(x + 7) + -3 Reorder the terms: 2(-5 + x) = 6 + -1(x + 7) + -3 (-5 * 2 + x * 2) = 6 + -1(x + 7) + -3 (-10 + 2x) = 6 + -1(x + 7) + -3 Reorder the terms: -10 + 2x = 6 + -1(7 + x) + -3 -10 + 2x = 6 + (7 * -1 + x * -1) + -3 -10 + 2x = 6 + (-7 + -1x) + -3 Reorder the terms: -10 + 2x = 6 + -7 + -3 + -1x Combine like terms: 6 + -7 = -1 -10 + 2x = -1 + -3 + -1x Combine like terms: -1 + -3 = -4 -10 + 2x = -4 + -1x Solving -10 + 2x = -4 + -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 + 2x + x = -4 + -1x + x Combine like terms: 2x + x = 3x -10 + 3x = -4 + -1x + x Combine like terms: -1x + x = 0 -10 + 3x = -4 + 0 -10 + 3x = -4 Add '10' to each side of the equation. -10 + 10 + 3x = -4 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = -4 + 10 3x = -4 + 10 Combine like terms: -4 + 10 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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