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