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Simplifying 4(x + -20) = 34 + -2x Reorder the terms: 4(-20 + x) = 34 + -2x (-20 * 4 + x * 4) = 34 + -2x (-80 + 4x) = 34 + -2x Solving -80 + 4x = 34 + -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. -80 + 4x + 2x = 34 + -2x + 2x Combine like terms: 4x + 2x = 6x -80 + 6x = 34 + -2x + 2x Combine like terms: -2x + 2x = 0 -80 + 6x = 34 + 0 -80 + 6x = 34 Add '80' to each side of the equation. -80 + 80 + 6x = 34 + 80 Combine like terms: -80 + 80 = 0 0 + 6x = 34 + 80 6x = 34 + 80 Combine like terms: 34 + 80 = 114 6x = 114 Divide each side by '6'. x = 19 Simplifying x = 19
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