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Simplifying -3(17x + -3) + 6(4x + 7) = 16 Reorder the terms: -3(-3 + 17x) + 6(4x + 7) = 16 (-3 * -3 + 17x * -3) + 6(4x + 7) = 16 (9 + -51x) + 6(4x + 7) = 16 Reorder the terms: 9 + -51x + 6(7 + 4x) = 16 9 + -51x + (7 * 6 + 4x * 6) = 16 9 + -51x + (42 + 24x) = 16 Reorder the terms: 9 + 42 + -51x + 24x = 16 Combine like terms: 9 + 42 = 51 51 + -51x + 24x = 16 Combine like terms: -51x + 24x = -27x 51 + -27x = 16 Solving 51 + -27x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + -27x = 16 + -51 Combine like terms: 51 + -51 = 0 0 + -27x = 16 + -51 -27x = 16 + -51 Combine like terms: 16 + -51 = -35 -27x = -35 Divide each side by '-27'. x = 1.296296296 Simplifying x = 1.296296296
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