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Simplifying -8 = 2(3x + -1) + -2(4x + -3) Reorder the terms: -8 = 2(-1 + 3x) + -2(4x + -3) -8 = (-1 * 2 + 3x * 2) + -2(4x + -3) -8 = (-2 + 6x) + -2(4x + -3) Reorder the terms: -8 = -2 + 6x + -2(-3 + 4x) -8 = -2 + 6x + (-3 * -2 + 4x * -2) -8 = -2 + 6x + (6 + -8x) Reorder the terms: -8 = -2 + 6 + 6x + -8x Combine like terms: -2 + 6 = 4 -8 = 4 + 6x + -8x Combine like terms: 6x + -8x = -2x -8 = 4 + -2x Solving -8 = 4 + -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 = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 2x = 4 + 0 -8 + 2x = 4 Add '8' to each side of the equation. -8 + 8 + 2x = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 4 + 8 2x = 4 + 8 Combine like terms: 4 + 8 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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