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