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Simplifying 3(7x + 9) + -8(5x + -2) = 62 Reorder the terms: 3(9 + 7x) + -8(5x + -2) = 62 (9 * 3 + 7x * 3) + -8(5x + -2) = 62 (27 + 21x) + -8(5x + -2) = 62 Reorder the terms: 27 + 21x + -8(-2 + 5x) = 62 27 + 21x + (-2 * -8 + 5x * -8) = 62 27 + 21x + (16 + -40x) = 62 Reorder the terms: 27 + 16 + 21x + -40x = 62 Combine like terms: 27 + 16 = 43 43 + 21x + -40x = 62 Combine like terms: 21x + -40x = -19x 43 + -19x = 62 Solving 43 + -19x = 62 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 + -19x = 62 + -43 Combine like terms: 43 + -43 = 0 0 + -19x = 62 + -43 -19x = 62 + -43 Combine like terms: 62 + -43 = 19 -19x = 19 Divide each side by '-19'. x = -1 Simplifying x = -1
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