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Simplifying 5(2x + 4) + -3(3x + -7) = 6 Reorder the terms: 5(4 + 2x) + -3(3x + -7) = 6 (4 * 5 + 2x * 5) + -3(3x + -7) = 6 (20 + 10x) + -3(3x + -7) = 6 Reorder the terms: 20 + 10x + -3(-7 + 3x) = 6 20 + 10x + (-7 * -3 + 3x * -3) = 6 20 + 10x + (21 + -9x) = 6 Reorder the terms: 20 + 21 + 10x + -9x = 6 Combine like terms: 20 + 21 = 41 41 + 10x + -9x = 6 Combine like terms: 10x + -9x = 1x 41 + 1x = 6 Solving 41 + 1x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 1x = 6 + -41 Combine like terms: 41 + -41 = 0 0 + 1x = 6 + -41 1x = 6 + -41 Combine like terms: 6 + -41 = -35 1x = -35 Divide each side by '1'. x = -35 Simplifying x = -35
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