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Simplifying -8 = -6(x + -2) + 8(x + -3) Reorder the terms: -8 = -6(-2 + x) + 8(x + -3) -8 = (-2 * -6 + x * -6) + 8(x + -3) -8 = (12 + -6x) + 8(x + -3) Reorder the terms: -8 = 12 + -6x + 8(-3 + x) -8 = 12 + -6x + (-3 * 8 + x * 8) -8 = 12 + -6x + (-24 + 8x) Reorder the terms: -8 = 12 + -24 + -6x + 8x Combine like terms: 12 + -24 = -12 -8 = -12 + -6x + 8x Combine like terms: -6x + 8x = 2x -8 = -12 + 2x Solving -8 = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + -2x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -2x = -12 + 0 -8 + -2x = -12 Add '8' to each side of the equation. -8 + 8 + -2x = -12 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = -12 + 8 -2x = -12 + 8 Combine like terms: -12 + 8 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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