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Simplifying 6(x + -2) + -7 = -7(-3x + 5) + -9x Reorder the terms: 6(-2 + x) + -7 = -7(-3x + 5) + -9x (-2 * 6 + x * 6) + -7 = -7(-3x + 5) + -9x (-12 + 6x) + -7 = -7(-3x + 5) + -9x Reorder the terms: -12 + -7 + 6x = -7(-3x + 5) + -9x Combine like terms: -12 + -7 = -19 -19 + 6x = -7(-3x + 5) + -9x Reorder the terms: -19 + 6x = -7(5 + -3x) + -9x -19 + 6x = (5 * -7 + -3x * -7) + -9x -19 + 6x = (-35 + 21x) + -9x Combine like terms: 21x + -9x = 12x -19 + 6x = -35 + 12x Solving -19 + 6x = -35 + 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. -19 + 6x + -12x = -35 + 12x + -12x Combine like terms: 6x + -12x = -6x -19 + -6x = -35 + 12x + -12x Combine like terms: 12x + -12x = 0 -19 + -6x = -35 + 0 -19 + -6x = -35 Add '19' to each side of the equation. -19 + 19 + -6x = -35 + 19 Combine like terms: -19 + 19 = 0 0 + -6x = -35 + 19 -6x = -35 + 19 Combine like terms: -35 + 19 = -16 -6x = -16 Divide each side by '-6'. x = 2.666666667 Simplifying x = 2.666666667
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