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Simplifying 4(3x + -2) + -5x = 6 + -1(2x + -1) Reorder the terms: 4(-2 + 3x) + -5x = 6 + -1(2x + -1) (-2 * 4 + 3x * 4) + -5x = 6 + -1(2x + -1) (-8 + 12x) + -5x = 6 + -1(2x + -1) Combine like terms: 12x + -5x = 7x -8 + 7x = 6 + -1(2x + -1) Reorder the terms: -8 + 7x = 6 + -1(-1 + 2x) -8 + 7x = 6 + (-1 * -1 + 2x * -1) -8 + 7x = 6 + (1 + -2x) Combine like terms: 6 + 1 = 7 -8 + 7x = 7 + -2x Solving -8 + 7x = 7 + -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. -8 + 7x + 2x = 7 + -2x + 2x Combine like terms: 7x + 2x = 9x -8 + 9x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 9x = 7 + 0 -8 + 9x = 7 Add '8' to each side of the equation. -8 + 8 + 9x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 9x = 7 + 8 9x = 7 + 8 Combine like terms: 7 + 8 = 15 9x = 15 Divide each side by '9'. x = 1.666666667 Simplifying x = 1.666666667
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