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Simplifying 2(4x + 1) + -3 = 4x + -2 Reorder the terms: 2(1 + 4x) + -3 = 4x + -2 (1 * 2 + 4x * 2) + -3 = 4x + -2 (2 + 8x) + -3 = 4x + -2 Reorder the terms: 2 + -3 + 8x = 4x + -2 Combine like terms: 2 + -3 = -1 -1 + 8x = 4x + -2 Reorder the terms: -1 + 8x = -2 + 4x Solving -1 + 8x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1 + 8x + -4x = -2 + 4x + -4x Combine like terms: 8x + -4x = 4x -1 + 4x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + 4x = -2 + 0 -1 + 4x = -2 Add '1' to each side of the equation. -1 + 1 + 4x = -2 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = -2 + 1 4x = -2 + 1 Combine like terms: -2 + 1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25
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