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Simplifying 9 + 4(7 + -6x) = 2 + -17x 9 + (7 * 4 + -6x * 4) = 2 + -17x 9 + (28 + -24x) = 2 + -17x Combine like terms: 9 + 28 = 37 37 + -24x = 2 + -17x Solving 37 + -24x = 2 + -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. 37 + -24x + 17x = 2 + -17x + 17x Combine like terms: -24x + 17x = -7x 37 + -7x = 2 + -17x + 17x Combine like terms: -17x + 17x = 0 37 + -7x = 2 + 0 37 + -7x = 2 Add '-37' to each side of the equation. 37 + -37 + -7x = 2 + -37 Combine like terms: 37 + -37 = 0 0 + -7x = 2 + -37 -7x = 2 + -37 Combine like terms: 2 + -37 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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