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Simplifying 2(4x + -1) + -3 = 4 + x + -2 Reorder the terms: 2(-1 + 4x) + -3 = 4 + x + -2 (-1 * 2 + 4x * 2) + -3 = 4 + x + -2 (-2 + 8x) + -3 = 4 + x + -2 Reorder the terms: -2 + -3 + 8x = 4 + x + -2 Combine like terms: -2 + -3 = -5 -5 + 8x = 4 + x + -2 Reorder the terms: -5 + 8x = 4 + -2 + x Combine like terms: 4 + -2 = 2 -5 + 8x = 2 + x Solving -5 + 8x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5 + 8x + -1x = 2 + x + -1x Combine like terms: 8x + -1x = 7x -5 + 7x = 2 + x + -1x Combine like terms: x + -1x = 0 -5 + 7x = 2 + 0 -5 + 7x = 2 Add '5' to each side of the equation. -5 + 5 + 7x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = 2 + 5 7x = 2 + 5 Combine like terms: 2 + 5 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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