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Simplifying 4(2 + -6x + -6x) + 5(9x + 6) = 17 Combine like terms: -6x + -6x = -12x 4(2 + -12x) + 5(9x + 6) = 17 (2 * 4 + -12x * 4) + 5(9x + 6) = 17 (8 + -48x) + 5(9x + 6) = 17 Reorder the terms: 8 + -48x + 5(6 + 9x) = 17 8 + -48x + (6 * 5 + 9x * 5) = 17 8 + -48x + (30 + 45x) = 17 Reorder the terms: 8 + 30 + -48x + 45x = 17 Combine like terms: 8 + 30 = 38 38 + -48x + 45x = 17 Combine like terms: -48x + 45x = -3x 38 + -3x = 17 Solving 38 + -3x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -3x = 17 + -38 Combine like terms: 38 + -38 = 0 0 + -3x = 17 + -38 -3x = 17 + -38 Combine like terms: 17 + -38 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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