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Simplifying 5(3x + -7) + -4(2x + -9) = 43 Reorder the terms: 5(-7 + 3x) + -4(2x + -9) = 43 (-7 * 5 + 3x * 5) + -4(2x + -9) = 43 (-35 + 15x) + -4(2x + -9) = 43 Reorder the terms: -35 + 15x + -4(-9 + 2x) = 43 -35 + 15x + (-9 * -4 + 2x * -4) = 43 -35 + 15x + (36 + -8x) = 43 Reorder the terms: -35 + 36 + 15x + -8x = 43 Combine like terms: -35 + 36 = 1 1 + 15x + -8x = 43 Combine like terms: 15x + -8x = 7x 1 + 7x = 43 Solving 1 + 7x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7x = 43 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 43 + -1 7x = 43 + -1 Combine like terms: 43 + -1 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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