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Simplifying 6x + 17 + 2x = 5(2x + -11) Reorder the terms: 17 + 6x + 2x = 5(2x + -11) Combine like terms: 6x + 2x = 8x 17 + 8x = 5(2x + -11) Reorder the terms: 17 + 8x = 5(-11 + 2x) 17 + 8x = (-11 * 5 + 2x * 5) 17 + 8x = (-55 + 10x) Solving 17 + 8x = -55 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 17 + 8x + -10x = -55 + 10x + -10x Combine like terms: 8x + -10x = -2x 17 + -2x = -55 + 10x + -10x Combine like terms: 10x + -10x = 0 17 + -2x = -55 + 0 17 + -2x = -55 Add '-17' to each side of the equation. 17 + -17 + -2x = -55 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = -55 + -17 -2x = -55 + -17 Combine like terms: -55 + -17 = -72 -2x = -72 Divide each side by '-2'. x = 36 Simplifying x = 36
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