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Simplifying 2(x + -7) + 5(-6 + -2x) = 4x + -1x Reorder the terms: 2(-7 + x) + 5(-6 + -2x) = 4x + -1x (-7 * 2 + x * 2) + 5(-6 + -2x) = 4x + -1x (-14 + 2x) + 5(-6 + -2x) = 4x + -1x -14 + 2x + (-6 * 5 + -2x * 5) = 4x + -1x -14 + 2x + (-30 + -10x) = 4x + -1x Reorder the terms: -14 + -30 + 2x + -10x = 4x + -1x Combine like terms: -14 + -30 = -44 -44 + 2x + -10x = 4x + -1x Combine like terms: 2x + -10x = -8x -44 + -8x = 4x + -1x Combine like terms: 4x + -1x = 3x -44 + -8x = 3x Solving -44 + -8x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -44 + -8x + -3x = 3x + -3x Combine like terms: -8x + -3x = -11x -44 + -11x = 3x + -3x Combine like terms: 3x + -3x = 0 -44 + -11x = 0 Add '44' to each side of the equation. -44 + 44 + -11x = 0 + 44 Combine like terms: -44 + 44 = 0 0 + -11x = 0 + 44 -11x = 0 + 44 Combine like terms: 0 + 44 = 44 -11x = 44 Divide each side by '-11'. x = -4 Simplifying x = -4
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