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Simplifying -3x + -2(6 + 5x) = 17 + -2(2x + -2) -3x + (6 * -2 + 5x * -2) = 17 + -2(2x + -2) -3x + (-12 + -10x) = 17 + -2(2x + -2) Reorder the terms: -12 + -3x + -10x = 17 + -2(2x + -2) Combine like terms: -3x + -10x = -13x -12 + -13x = 17 + -2(2x + -2) Reorder the terms: -12 + -13x = 17 + -2(-2 + 2x) -12 + -13x = 17 + (-2 * -2 + 2x * -2) -12 + -13x = 17 + (4 + -4x) Combine like terms: 17 + 4 = 21 -12 + -13x = 21 + -4x Solving -12 + -13x = 21 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -12 + -13x + 4x = 21 + -4x + 4x Combine like terms: -13x + 4x = -9x -12 + -9x = 21 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + -9x = 21 + 0 -12 + -9x = 21 Add '12' to each side of the equation. -12 + 12 + -9x = 21 + 12 Combine like terms: -12 + 12 = 0 0 + -9x = 21 + 12 -9x = 21 + 12 Combine like terms: 21 + 12 = 33 -9x = 33 Divide each side by '-9'. x = -3.666666667 Simplifying x = -3.666666667
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