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Simplifying 3x + 11 = (x + -7) * 5 Reorder the terms: 11 + 3x = (x + -7) * 5 Reorder the terms: 11 + 3x = (-7 + x) * 5 Reorder the terms for easier multiplication: 11 + 3x = 5(-7 + x) 11 + 3x = (-7 * 5 + x * 5) 11 + 3x = (-35 + 5x) Solving 11 + 3x = -35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 11 + 3x + -5x = -35 + 5x + -5x Combine like terms: 3x + -5x = -2x 11 + -2x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 11 + -2x = -35 + 0 11 + -2x = -35 Add '-11' to each side of the equation. 11 + -11 + -2x = -35 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = -35 + -11 -2x = -35 + -11 Combine like terms: -35 + -11 = -46 -2x = -46 Divide each side by '-2'. x = 23 Simplifying x = 23
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