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Simplifying -6(x + -2) + -2x = 8(x + 3) Reorder the terms: -6(-2 + x) + -2x = 8(x + 3) (-2 * -6 + x * -6) + -2x = 8(x + 3) (12 + -6x) + -2x = 8(x + 3) Combine like terms: -6x + -2x = -8x 12 + -8x = 8(x + 3) Reorder the terms: 12 + -8x = 8(3 + x) 12 + -8x = (3 * 8 + x * 8) 12 + -8x = (24 + 8x) Solving 12 + -8x = 24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + -8x + -8x = 24 + 8x + -8x Combine like terms: -8x + -8x = -16x 12 + -16x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -16x = 24 + 0 12 + -16x = 24 Add '-12' to each side of the equation. 12 + -12 + -16x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -16x = 24 + -12 -16x = 24 + -12 Combine like terms: 24 + -12 = 12 -16x = 12 Divide each side by '-16'. x = -0.75 Simplifying x = -0.75
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