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Simplifying 6(x + -2) + -5 = -5(-4x + 7) + -6x Reorder the terms: 6(-2 + x) + -5 = -5(-4x + 7) + -6x (-2 * 6 + x * 6) + -5 = -5(-4x + 7) + -6x (-12 + 6x) + -5 = -5(-4x + 7) + -6x Reorder the terms: -12 + -5 + 6x = -5(-4x + 7) + -6x Combine like terms: -12 + -5 = -17 -17 + 6x = -5(-4x + 7) + -6x Reorder the terms: -17 + 6x = -5(7 + -4x) + -6x -17 + 6x = (7 * -5 + -4x * -5) + -6x -17 + 6x = (-35 + 20x) + -6x Combine like terms: 20x + -6x = 14x -17 + 6x = -35 + 14x Solving -17 + 6x = -35 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -17 + 6x + -14x = -35 + 14x + -14x Combine like terms: 6x + -14x = -8x -17 + -8x = -35 + 14x + -14x Combine like terms: 14x + -14x = 0 -17 + -8x = -35 + 0 -17 + -8x = -35 Add '17' to each side of the equation. -17 + 17 + -8x = -35 + 17 Combine like terms: -17 + 17 = 0 0 + -8x = -35 + 17 -8x = -35 + 17 Combine like terms: -35 + 17 = -18 -8x = -18 Divide each side by '-8'. x = 2.25 Simplifying x = 2.25
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