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Simplifying 2(3(4) + -1) + -3(4(4) + 3) + -6 = 5x + -4(4x + -1) Multiply 3 * 4 2(12 + -1) + -3(4(4) + 3) + -6 = 5x + -4(4x + -1) Combine like terms: 12 + -1 = 11 2(11) + -3(4(4) + 3) + -6 = 5x + -4(4x + -1) Multiply 2 * 11 22 + -3(4(4) + 3) + -6 = 5x + -4(4x + -1) Multiply 4 * 4 22 + -3(16 + 3) + -6 = 5x + -4(4x + -1) Combine like terms: 16 + 3 = 19 22 + -3(19) + -6 = 5x + -4(4x + -1) Multiply -3 * 19 22 + -57 + -6 = 5x + -4(4x + -1) Combine like terms: 22 + -57 = -35 -35 + -6 = 5x + -4(4x + -1) Combine like terms: -35 + -6 = -41 -41 = 5x + -4(4x + -1) Reorder the terms: -41 = 5x + -4(-1 + 4x) -41 = 5x + (-1 * -4 + 4x * -4) -41 = 5x + (4 + -16x) Reorder the terms: -41 = 4 + 5x + -16x Combine like terms: 5x + -16x = -11x -41 = 4 + -11x Solving -41 = 4 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -41 + 11x = 4 + -11x + 11x Combine like terms: -11x + 11x = 0 -41 + 11x = 4 + 0 -41 + 11x = 4 Add '41' to each side of the equation. -41 + 41 + 11x = 4 + 41 Combine like terms: -41 + 41 = 0 0 + 11x = 4 + 41 11x = 4 + 41 Combine like terms: 4 + 41 = 45 11x = 45 Divide each side by '11'. x = 4.090909091 Simplifying x = 4.090909091
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