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Simplifying (2x + -1) + 2(4x + 5) = 6x + -3 Reorder the terms: (-1 + 2x) + 2(4x + 5) = 6x + -3 Remove parenthesis around (-1 + 2x) -1 + 2x + 2(4x + 5) = 6x + -3 Reorder the terms: -1 + 2x + 2(5 + 4x) = 6x + -3 -1 + 2x + (5 * 2 + 4x * 2) = 6x + -3 -1 + 2x + (10 + 8x) = 6x + -3 Reorder the terms: -1 + 10 + 2x + 8x = 6x + -3 Combine like terms: -1 + 10 = 9 9 + 2x + 8x = 6x + -3 Combine like terms: 2x + 8x = 10x 9 + 10x = 6x + -3 Reorder the terms: 9 + 10x = -3 + 6x Solving 9 + 10x = -3 + 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. 9 + 10x + -6x = -3 + 6x + -6x Combine like terms: 10x + -6x = 4x 9 + 4x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + 4x = -3 + 0 9 + 4x = -3 Add '-9' to each side of the equation. 9 + -9 + 4x = -3 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = -3 + -9 4x = -3 + -9 Combine like terms: -3 + -9 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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