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Simplifying 3(2x + -1) + 5x = 2(3x + -3) + -6x + 7 Reorder the terms: 3(-1 + 2x) + 5x = 2(3x + -3) + -6x + 7 (-1 * 3 + 2x * 3) + 5x = 2(3x + -3) + -6x + 7 (-3 + 6x) + 5x = 2(3x + -3) + -6x + 7 Combine like terms: 6x + 5x = 11x -3 + 11x = 2(3x + -3) + -6x + 7 Reorder the terms: -3 + 11x = 2(-3 + 3x) + -6x + 7 -3 + 11x = (-3 * 2 + 3x * 2) + -6x + 7 -3 + 11x = (-6 + 6x) + -6x + 7 Reorder the terms: -3 + 11x = -6 + 7 + 6x + -6x Combine like terms: -6 + 7 = 1 -3 + 11x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + 11x = 1 + 0 -3 + 11x = 1 Solving -3 + 11x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 11x = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 11x = 1 + 3 11x = 1 + 3 Combine like terms: 1 + 3 = 4 11x = 4 Divide each side by '11'. x = 0.3636363636 Simplifying x = 0.3636363636
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