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Simplifying 5(2x + -3) + 3x = 6 + -1(5 + -1x) + 10x Reorder the terms: 5(-3 + 2x) + 3x = 6 + -1(5 + -1x) + 10x (-3 * 5 + 2x * 5) + 3x = 6 + -1(5 + -1x) + 10x (-15 + 10x) + 3x = 6 + -1(5 + -1x) + 10x Combine like terms: 10x + 3x = 13x -15 + 13x = 6 + -1(5 + -1x) + 10x -15 + 13x = 6 + (5 * -1 + -1x * -1) + 10x -15 + 13x = 6 + (-5 + 1x) + 10x Combine like terms: 6 + -5 = 1 -15 + 13x = 1 + 1x + 10x Combine like terms: 1x + 10x = 11x -15 + 13x = 1 + 11x Solving -15 + 13x = 1 + 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. -15 + 13x + -11x = 1 + 11x + -11x Combine like terms: 13x + -11x = 2x -15 + 2x = 1 + 11x + -11x Combine like terms: 11x + -11x = 0 -15 + 2x = 1 + 0 -15 + 2x = 1 Add '15' to each side of the equation. -15 + 15 + 2x = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = 1 + 15 2x = 1 + 15 Combine like terms: 1 + 15 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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