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Simplifying 5(3x + 2) + -7(-1x + 4) = 2 Reorder the terms: 5(2 + 3x) + -7(-1x + 4) = 2 (2 * 5 + 3x * 5) + -7(-1x + 4) = 2 (10 + 15x) + -7(-1x + 4) = 2 Reorder the terms: 10 + 15x + -7(4 + -1x) = 2 10 + 15x + (4 * -7 + -1x * -7) = 2 10 + 15x + (-28 + 7x) = 2 Reorder the terms: 10 + -28 + 15x + 7x = 2 Combine like terms: 10 + -28 = -18 -18 + 15x + 7x = 2 Combine like terms: 15x + 7x = 22x -18 + 22x = 2 Solving -18 + 22x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 22x = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 22x = 2 + 18 22x = 2 + 18 Combine like terms: 2 + 18 = 20 22x = 20 Divide each side by '22'. x = 0.9090909091 Simplifying x = 0.9090909091
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