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Simplifying 7(2x + 4) + -5(3x + -3) = 0 Reorder the terms: 7(4 + 2x) + -5(3x + -3) = 0 (4 * 7 + 2x * 7) + -5(3x + -3) = 0 (28 + 14x) + -5(3x + -3) = 0 Reorder the terms: 28 + 14x + -5(-3 + 3x) = 0 28 + 14x + (-3 * -5 + 3x * -5) = 0 28 + 14x + (15 + -15x) = 0 Reorder the terms: 28 + 15 + 14x + -15x = 0 Combine like terms: 28 + 15 = 43 43 + 14x + -15x = 0 Combine like terms: 14x + -15x = -1x 43 + -1x = 0 Solving 43 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + -1x = 0 + -43 Combine like terms: 43 + -43 = 0 0 + -1x = 0 + -43 -1x = 0 + -43 Combine like terms: 0 + -43 = -43 -1x = -43 Divide each side by '-1'. x = 43 Simplifying x = 43
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