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Simplifying 4(x + -1) * 2 = 6x + 2 Reorder the terms: 4(-1 + x) * 2 = 6x + 2 Reorder the terms for easier multiplication: 4 * 2(-1 + x) = 6x + 2 Multiply 4 * 2 8(-1 + x) = 6x + 2 (-1 * 8 + x * 8) = 6x + 2 (-8 + 8x) = 6x + 2 Reorder the terms: -8 + 8x = 2 + 6x Solving -8 + 8x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 8x + -6x = 2 + 6x + -6x Combine like terms: 8x + -6x = 2x -8 + 2x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 2x = 2 + 0 -8 + 2x = 2 Add '8' to each side of the equation. -8 + 8 + 2x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 2 + 8 2x = 2 + 8 Combine like terms: 2 + 8 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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