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Simplifying (2x + -1) + 2(4x + 8) = 4x + -3 Reorder the terms: (-1 + 2x) + 2(4x + 8) = 4x + -3 Remove parenthesis around (-1 + 2x) -1 + 2x + 2(4x + 8) = 4x + -3 Reorder the terms: -1 + 2x + 2(8 + 4x) = 4x + -3 -1 + 2x + (8 * 2 + 4x * 2) = 4x + -3 -1 + 2x + (16 + 8x) = 4x + -3 Reorder the terms: -1 + 16 + 2x + 8x = 4x + -3 Combine like terms: -1 + 16 = 15 15 + 2x + 8x = 4x + -3 Combine like terms: 2x + 8x = 10x 15 + 10x = 4x + -3 Reorder the terms: 15 + 10x = -3 + 4x Solving 15 + 10x = -3 + 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. 15 + 10x + -4x = -3 + 4x + -4x Combine like terms: 10x + -4x = 6x 15 + 6x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + 6x = -3 + 0 15 + 6x = -3 Add '-15' to each side of the equation. 15 + -15 + 6x = -3 + -15 Combine like terms: 15 + -15 = 0 0 + 6x = -3 + -15 6x = -3 + -15 Combine like terms: -3 + -15 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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