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Simplifying 6(x + -2) + -2x = 8(-5x + -7) Reorder the terms: 6(-2 + x) + -2x = 8(-5x + -7) (-2 * 6 + x * 6) + -2x = 8(-5x + -7) (-12 + 6x) + -2x = 8(-5x + -7) Combine like terms: 6x + -2x = 4x -12 + 4x = 8(-5x + -7) Reorder the terms: -12 + 4x = 8(-7 + -5x) -12 + 4x = (-7 * 8 + -5x * 8) -12 + 4x = (-56 + -40x) Solving -12 + 4x = -56 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. -12 + 4x + 40x = -56 + -40x + 40x Combine like terms: 4x + 40x = 44x -12 + 44x = -56 + -40x + 40x Combine like terms: -40x + 40x = 0 -12 + 44x = -56 + 0 -12 + 44x = -56 Add '12' to each side of the equation. -12 + 12 + 44x = -56 + 12 Combine like terms: -12 + 12 = 0 0 + 44x = -56 + 12 44x = -56 + 12 Combine like terms: -56 + 12 = -44 44x = -44 Divide each side by '44'. x = -1 Simplifying x = -1
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