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Simplifying (4x + 10) + (4x + 10) = 17x + -43 Reorder the terms: (10 + 4x) + (4x + 10) = 17x + -43 Remove parenthesis around (10 + 4x) 10 + 4x + (4x + 10) = 17x + -43 Reorder the terms: 10 + 4x + (10 + 4x) = 17x + -43 Remove parenthesis around (10 + 4x) 10 + 4x + 10 + 4x = 17x + -43 Reorder the terms: 10 + 10 + 4x + 4x = 17x + -43 Combine like terms: 10 + 10 = 20 20 + 4x + 4x = 17x + -43 Combine like terms: 4x + 4x = 8x 20 + 8x = 17x + -43 Reorder the terms: 20 + 8x = -43 + 17x Solving 20 + 8x = -43 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 20 + 8x + -17x = -43 + 17x + -17x Combine like terms: 8x + -17x = -9x 20 + -9x = -43 + 17x + -17x Combine like terms: 17x + -17x = 0 20 + -9x = -43 + 0 20 + -9x = -43 Add '-20' to each side of the equation. 20 + -20 + -9x = -43 + -20 Combine like terms: 20 + -20 = 0 0 + -9x = -43 + -20 -9x = -43 + -20 Combine like terms: -43 + -20 = -63 -9x = -63 Divide each side by '-9'. x = 7 Simplifying x = 7
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