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Simplifying 2x + 34 = 4(x + -5) Reorder the terms: 34 + 2x = 4(x + -5) Reorder the terms: 34 + 2x = 4(-5 + x) 34 + 2x = (-5 * 4 + x * 4) 34 + 2x = (-20 + 4x) Solving 34 + 2x = -20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 34 + 2x + -4x = -20 + 4x + -4x Combine like terms: 2x + -4x = -2x 34 + -2x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 34 + -2x = -20 + 0 34 + -2x = -20 Add '-34' to each side of the equation. 34 + -34 + -2x = -20 + -34 Combine like terms: 34 + -34 = 0 0 + -2x = -20 + -34 -2x = -20 + -34 Combine like terms: -20 + -34 = -54 -2x = -54 Divide each side by '-2'. x = 27 Simplifying x = 27
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