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Simplifying 6 + -2(3x + 4) = 5(2x + -1) + -3x Reorder the terms: 6 + -2(4 + 3x) = 5(2x + -1) + -3x 6 + (4 * -2 + 3x * -2) = 5(2x + -1) + -3x 6 + (-8 + -6x) = 5(2x + -1) + -3x Combine like terms: 6 + -8 = -2 -2 + -6x = 5(2x + -1) + -3x Reorder the terms: -2 + -6x = 5(-1 + 2x) + -3x -2 + -6x = (-1 * 5 + 2x * 5) + -3x -2 + -6x = (-5 + 10x) + -3x Combine like terms: 10x + -3x = 7x -2 + -6x = -5 + 7x Solving -2 + -6x = -5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + -6x + -7x = -5 + 7x + -7x Combine like terms: -6x + -7x = -13x -2 + -13x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -13x = -5 + 0 -2 + -13x = -5 Add '2' to each side of the equation. -2 + 2 + -13x = -5 + 2 Combine like terms: -2 + 2 = 0 0 + -13x = -5 + 2 -13x = -5 + 2 Combine like terms: -5 + 2 = -3 -13x = -3 Divide each side by '-13'. x = 0.2307692308 Simplifying x = 0.2307692308
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