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Simplifying 5(7 + 4x) + -2x + 7 = 30 (7 * 5 + 4x * 5) + -2x + 7 = 30 (35 + 20x) + -2x + 7 = 30 Reorder the terms: 35 + 7 + 20x + -2x = 30 Combine like terms: 35 + 7 = 42 42 + 20x + -2x = 30 Combine like terms: 20x + -2x = 18x 42 + 18x = 30 Solving 42 + 18x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 18x = 30 + -42 Combine like terms: 42 + -42 = 0 0 + 18x = 30 + -42 18x = 30 + -42 Combine like terms: 30 + -42 = -12 18x = -12 Divide each side by '18'. x = -0.6666666667 Simplifying x = -0.6666666667
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