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Simplifying 4x + 17 = 2(x + -5) Reorder the terms: 17 + 4x = 2(x + -5) Reorder the terms: 17 + 4x = 2(-5 + x) 17 + 4x = (-5 * 2 + x * 2) 17 + 4x = (-10 + 2x) Solving 17 + 4x = -10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 17 + 4x + -2x = -10 + 2x + -2x Combine like terms: 4x + -2x = 2x 17 + 2x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 17 + 2x = -10 + 0 17 + 2x = -10 Add '-17' to each side of the equation. 17 + -17 + 2x = -10 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = -10 + -17 2x = -10 + -17 Combine like terms: -10 + -17 = -27 2x = -27 Divide each side by '2'. x = -13.5 Simplifying x = -13.5
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