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Simplifying 4(3x + -2) = 5x + -1(3 + -6x) Reorder the terms: 4(-2 + 3x) = 5x + -1(3 + -6x) (-2 * 4 + 3x * 4) = 5x + -1(3 + -6x) (-8 + 12x) = 5x + -1(3 + -6x) -8 + 12x = 5x + (3 * -1 + -6x * -1) -8 + 12x = 5x + (-3 + 6x) Reorder the terms: -8 + 12x = -3 + 5x + 6x Combine like terms: 5x + 6x = 11x -8 + 12x = -3 + 11x Solving -8 + 12x = -3 + 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. -8 + 12x + -11x = -3 + 11x + -11x Combine like terms: 12x + -11x = 1x -8 + 1x = -3 + 11x + -11x Combine like terms: 11x + -11x = 0 -8 + 1x = -3 + 0 -8 + 1x = -3 Add '8' to each side of the equation. -8 + 8 + 1x = -3 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = -3 + 8 1x = -3 + 8 Combine like terms: -3 + 8 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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