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Simplifying -7(-4x + 5) + -6x = 6(x + -3) + -9 Reorder the terms: -7(5 + -4x) + -6x = 6(x + -3) + -9 (5 * -7 + -4x * -7) + -6x = 6(x + -3) + -9 (-35 + 28x) + -6x = 6(x + -3) + -9 Combine like terms: 28x + -6x = 22x -35 + 22x = 6(x + -3) + -9 Reorder the terms: -35 + 22x = 6(-3 + x) + -9 -35 + 22x = (-3 * 6 + x * 6) + -9 -35 + 22x = (-18 + 6x) + -9 Reorder the terms: -35 + 22x = -18 + -9 + 6x Combine like terms: -18 + -9 = -27 -35 + 22x = -27 + 6x Solving -35 + 22x = -27 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -35 + 22x + -6x = -27 + 6x + -6x Combine like terms: 22x + -6x = 16x -35 + 16x = -27 + 6x + -6x Combine like terms: 6x + -6x = 0 -35 + 16x = -27 + 0 -35 + 16x = -27 Add '35' to each side of the equation. -35 + 35 + 16x = -27 + 35 Combine like terms: -35 + 35 = 0 0 + 16x = -27 + 35 16x = -27 + 35 Combine like terms: -27 + 35 = 8 16x = 8 Divide each side by '16'. x = 0.5 Simplifying x = 0.5
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