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Simplifying 2(x + 3) + -3(4 + -5x) = 6 Reorder the terms: 2(3 + x) + -3(4 + -5x) = 6 (3 * 2 + x * 2) + -3(4 + -5x) = 6 (6 + 2x) + -3(4 + -5x) = 6 6 + 2x + (4 * -3 + -5x * -3) = 6 6 + 2x + (-12 + 15x) = 6 Reorder the terms: 6 + -12 + 2x + 15x = 6 Combine like terms: 6 + -12 = -6 -6 + 2x + 15x = 6 Combine like terms: 2x + 15x = 17x -6 + 17x = 6 Solving -6 + 17x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 17x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 17x = 6 + 6 17x = 6 + 6 Combine like terms: 6 + 6 = 12 17x = 12 Divide each side by '17'. x = 0.7058823529 Simplifying x = 0.7058823529
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