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Simplifying 2x + 17 + -1(8 + 3) = 9x + 2 + -4(8 + -2) Combine like terms: 8 + 3 = 11 2x + 17 + -1(11) = 9x + 2 + -4(8 + -2) Multiply -1 * 11 2x + 17 + -11 = 9x + 2 + -4(8 + -2) Reorder the terms: 17 + -11 + 2x = 9x + 2 + -4(8 + -2) Combine like terms: 17 + -11 = 6 6 + 2x = 9x + 2 + -4(8 + -2) Combine like terms: 8 + -2 = 6 6 + 2x = 9x + 2 + -4(6) Multiply -4 * 6 6 + 2x = 9x + 2 + -24 Reorder the terms: 6 + 2x = 2 + -24 + 9x Combine like terms: 2 + -24 = -22 6 + 2x = -22 + 9x Solving 6 + 2x = -22 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 6 + 2x + -9x = -22 + 9x + -9x Combine like terms: 2x + -9x = -7x 6 + -7x = -22 + 9x + -9x Combine like terms: 9x + -9x = 0 6 + -7x = -22 + 0 6 + -7x = -22 Add '-6' to each side of the equation. 6 + -6 + -7x = -22 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = -22 + -6 -7x = -22 + -6 Combine like terms: -22 + -6 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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