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Simplifying 2x + -1(4x + 3) = 6x + 3(x + 4) Reorder the terms: 2x + -1(3 + 4x) = 6x + 3(x + 4) 2x + (3 * -1 + 4x * -1) = 6x + 3(x + 4) 2x + (-3 + -4x) = 6x + 3(x + 4) Reorder the terms: -3 + 2x + -4x = 6x + 3(x + 4) Combine like terms: 2x + -4x = -2x -3 + -2x = 6x + 3(x + 4) Reorder the terms: -3 + -2x = 6x + 3(4 + x) -3 + -2x = 6x + (4 * 3 + x * 3) -3 + -2x = 6x + (12 + 3x) Reorder the terms: -3 + -2x = 12 + 6x + 3x Combine like terms: 6x + 3x = 9x -3 + -2x = 12 + 9x Solving -3 + -2x = 12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -3 + -2x + -9x = 12 + 9x + -9x Combine like terms: -2x + -9x = -11x -3 + -11x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 -3 + -11x = 12 + 0 -3 + -11x = 12 Add '3' to each side of the equation. -3 + 3 + -11x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -11x = 12 + 3 -11x = 12 + 3 Combine like terms: 12 + 3 = 15 -11x = 15 Divide each side by '-11'. x = -1.363636364 Simplifying x = -1.363636364
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