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Simplifying 7(2x + 2) + -5(4x + -3) = 7 Reorder the terms: 7(2 + 2x) + -5(4x + -3) = 7 (2 * 7 + 2x * 7) + -5(4x + -3) = 7 (14 + 14x) + -5(4x + -3) = 7 Reorder the terms: 14 + 14x + -5(-3 + 4x) = 7 14 + 14x + (-3 * -5 + 4x * -5) = 7 14 + 14x + (15 + -20x) = 7 Reorder the terms: 14 + 15 + 14x + -20x = 7 Combine like terms: 14 + 15 = 29 29 + 14x + -20x = 7 Combine like terms: 14x + -20x = -6x 29 + -6x = 7 Solving 29 + -6x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -6x = 7 + -29 Combine like terms: 29 + -29 = 0 0 + -6x = 7 + -29 -6x = 7 + -29 Combine like terms: 7 + -29 = -22 -6x = -22 Divide each side by '-6'. x = 3.666666667 Simplifying x = 3.666666667
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