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Simplifying -20 + -2(x + -7) = 3x + -2(x + 6) Reorder the terms: -20 + -2(-7 + x) = 3x + -2(x + 6) -20 + (-7 * -2 + x * -2) = 3x + -2(x + 6) -20 + (14 + -2x) = 3x + -2(x + 6) Combine like terms: -20 + 14 = -6 -6 + -2x = 3x + -2(x + 6) Reorder the terms: -6 + -2x = 3x + -2(6 + x) -6 + -2x = 3x + (6 * -2 + x * -2) -6 + -2x = 3x + (-12 + -2x) Reorder the terms: -6 + -2x = -12 + 3x + -2x Combine like terms: 3x + -2x = 1x -6 + -2x = -12 + 1x Solving -6 + -2x = -12 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + -2x + -1x = -12 + 1x + -1x Combine like terms: -2x + -1x = -3x -6 + -3x = -12 + 1x + -1x Combine like terms: 1x + -1x = 0 -6 + -3x = -12 + 0 -6 + -3x = -12 Add '6' to each side of the equation. -6 + 6 + -3x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = -12 + 6 -3x = -12 + 6 Combine like terms: -12 + 6 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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