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Simplifying -3(x + 2) + 7(-2x + -1) = 6x + -6(3x + 5) Reorder the terms: -3(2 + x) + 7(-2x + -1) = 6x + -6(3x + 5) (2 * -3 + x * -3) + 7(-2x + -1) = 6x + -6(3x + 5) (-6 + -3x) + 7(-2x + -1) = 6x + -6(3x + 5) Reorder the terms: -6 + -3x + 7(-1 + -2x) = 6x + -6(3x + 5) -6 + -3x + (-1 * 7 + -2x * 7) = 6x + -6(3x + 5) -6 + -3x + (-7 + -14x) = 6x + -6(3x + 5) Reorder the terms: -6 + -7 + -3x + -14x = 6x + -6(3x + 5) Combine like terms: -6 + -7 = -13 -13 + -3x + -14x = 6x + -6(3x + 5) Combine like terms: -3x + -14x = -17x -13 + -17x = 6x + -6(3x + 5) Reorder the terms: -13 + -17x = 6x + -6(5 + 3x) -13 + -17x = 6x + (5 * -6 + 3x * -6) -13 + -17x = 6x + (-30 + -18x) Reorder the terms: -13 + -17x = -30 + 6x + -18x Combine like terms: 6x + -18x = -12x -13 + -17x = -30 + -12x Solving -13 + -17x = -30 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -13 + -17x + 12x = -30 + -12x + 12x Combine like terms: -17x + 12x = -5x -13 + -5x = -30 + -12x + 12x Combine like terms: -12x + 12x = 0 -13 + -5x = -30 + 0 -13 + -5x = -30 Add '13' to each side of the equation. -13 + 13 + -5x = -30 + 13 Combine like terms: -13 + 13 = 0 0 + -5x = -30 + 13 -5x = -30 + 13 Combine like terms: -30 + 13 = -17 -5x = -17 Divide each side by '-5'. x = 3.4 Simplifying x = 3.4
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