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Simplifying 7(13x + 9) + 17x = (-8x) + 18 Reorder the terms: 7(9 + 13x) + 17x = (-8x) + 18 (9 * 7 + 13x * 7) + 17x = (-8x) + 18 (63 + 91x) + 17x = (-8x) + 18 Combine like terms: 91x + 17x = 108x 63 + 108x = (-8x) + 18 Reorder the terms: 63 + 108x = 18 + (-8x) Solving 63 + 108x = 18 + (-8x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(8x)' to each side of the equation. 63 + 108x + (8x) = 18 + (-8x) + (8x) Combine like terms: 108x + (8x) = 116x 63 + 116x = 18 + (-8x) + (8x) Combine like terms: (-8x) + (8x) = 0 63 + 116x = 18 + 0 63 + 116x = 18 Add '-63' to each side of the equation. 63 + -63 + 116x = 18 + -63 Combine like terms: 63 + -63 = 0 0 + 116x = 18 + -63 116x = 18 + -63 Combine like terms: 18 + -63 = -45 116x = -45 Divide each side by '116'. x = -0.3879310345 Simplifying x = -0.3879310345
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