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Simplifying -3(x + 5) + -7 = 6(x + -5) Reorder the terms: -3(5 + x) + -7 = 6(x + -5) (5 * -3 + x * -3) + -7 = 6(x + -5) (-15 + -3x) + -7 = 6(x + -5) Reorder the terms: -15 + -7 + -3x = 6(x + -5) Combine like terms: -15 + -7 = -22 -22 + -3x = 6(x + -5) Reorder the terms: -22 + -3x = 6(-5 + x) -22 + -3x = (-5 * 6 + x * 6) -22 + -3x = (-30 + 6x) Solving -22 + -3x = -30 + 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. -22 + -3x + -6x = -30 + 6x + -6x Combine like terms: -3x + -6x = -9x -22 + -9x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 -22 + -9x = -30 + 0 -22 + -9x = -30 Add '22' to each side of the equation. -22 + 22 + -9x = -30 + 22 Combine like terms: -22 + 22 = 0 0 + -9x = -30 + 22 -9x = -30 + 22 Combine like terms: -30 + 22 = -8 -9x = -8 Divide each side by '-9'. x = 0.8888888889 Simplifying x = 0.8888888889
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