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Simplifying 9(2x + 14) + -4(3x + 17) = 64 Reorder the terms: 9(14 + 2x) + -4(3x + 17) = 64 (14 * 9 + 2x * 9) + -4(3x + 17) = 64 (126 + 18x) + -4(3x + 17) = 64 Reorder the terms: 126 + 18x + -4(17 + 3x) = 64 126 + 18x + (17 * -4 + 3x * -4) = 64 126 + 18x + (-68 + -12x) = 64 Reorder the terms: 126 + -68 + 18x + -12x = 64 Combine like terms: 126 + -68 = 58 58 + 18x + -12x = 64 Combine like terms: 18x + -12x = 6x 58 + 6x = 64 Solving 58 + 6x = 64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-58' to each side of the equation. 58 + -58 + 6x = 64 + -58 Combine like terms: 58 + -58 = 0 0 + 6x = 64 + -58 6x = 64 + -58 Combine like terms: 64 + -58 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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