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Simplifying (2x + -8) * 4 + 2 = 2 + 3(4 + -1x) Reorder the terms: (-8 + 2x) * 4 + 2 = 2 + 3(4 + -1x) Reorder the terms for easier multiplication: 4(-8 + 2x) + 2 = 2 + 3(4 + -1x) (-8 * 4 + 2x * 4) + 2 = 2 + 3(4 + -1x) (-32 + 8x) + 2 = 2 + 3(4 + -1x) Reorder the terms: -32 + 2 + 8x = 2 + 3(4 + -1x) Combine like terms: -32 + 2 = -30 -30 + 8x = 2 + 3(4 + -1x) -30 + 8x = 2 + (4 * 3 + -1x * 3) -30 + 8x = 2 + (12 + -3x) Combine like terms: 2 + 12 = 14 -30 + 8x = 14 + -3x Solving -30 + 8x = 14 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -30 + 8x + 3x = 14 + -3x + 3x Combine like terms: 8x + 3x = 11x -30 + 11x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 -30 + 11x = 14 + 0 -30 + 11x = 14 Add '30' to each side of the equation. -30 + 30 + 11x = 14 + 30 Combine like terms: -30 + 30 = 0 0 + 11x = 14 + 30 11x = 14 + 30 Combine like terms: 14 + 30 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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