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Simplifying 2(3x + -1) + -3(4x + 3) + -6 = 5x + -4(4x + -1) Reorder the terms: 2(-1 + 3x) + -3(4x + 3) + -6 = 5x + -4(4x + -1) (-1 * 2 + 3x * 2) + -3(4x + 3) + -6 = 5x + -4(4x + -1) (-2 + 6x) + -3(4x + 3) + -6 = 5x + -4(4x + -1) Reorder the terms: -2 + 6x + -3(3 + 4x) + -6 = 5x + -4(4x + -1) -2 + 6x + (3 * -3 + 4x * -3) + -6 = 5x + -4(4x + -1) -2 + 6x + (-9 + -12x) + -6 = 5x + -4(4x + -1) Reorder the terms: -2 + -9 + -6 + 6x + -12x = 5x + -4(4x + -1) Combine like terms: -2 + -9 = -11 -11 + -6 + 6x + -12x = 5x + -4(4x + -1) Combine like terms: -11 + -6 = -17 -17 + 6x + -12x = 5x + -4(4x + -1) Combine like terms: 6x + -12x = -6x -17 + -6x = 5x + -4(4x + -1) Reorder the terms: -17 + -6x = 5x + -4(-1 + 4x) -17 + -6x = 5x + (-1 * -4 + 4x * -4) -17 + -6x = 5x + (4 + -16x) Reorder the terms: -17 + -6x = 4 + 5x + -16x Combine like terms: 5x + -16x = -11x -17 + -6x = 4 + -11x Solving -17 + -6x = 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. -17 + -6x + 11x = 4 + -11x + 11x Combine like terms: -6x + 11x = 5x -17 + 5x = 4 + -11x + 11x Combine like terms: -11x + 11x = 0 -17 + 5x = 4 + 0 -17 + 5x = 4 Add '17' to each side of the equation. -17 + 17 + 5x = 4 + 17 Combine like terms: -17 + 17 = 0 0 + 5x = 4 + 17 5x = 4 + 17 Combine like terms: 4 + 17 = 21 5x = 21 Divide each side by '5'. x = 4.2 Simplifying x = 4.2
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