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Simplifying 4(x + 80) + -4 = 34 + -2x Reorder the terms: 4(80 + x) + -4 = 34 + -2x (80 * 4 + x * 4) + -4 = 34 + -2x (320 + 4x) + -4 = 34 + -2x Reorder the terms: 320 + -4 + 4x = 34 + -2x Combine like terms: 320 + -4 = 316 316 + 4x = 34 + -2x Solving 316 + 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. 316 + 4x + 2x = 34 + -2x + 2x Combine like terms: 4x + 2x = 6x 316 + 6x = 34 + -2x + 2x Combine like terms: -2x + 2x = 0 316 + 6x = 34 + 0 316 + 6x = 34 Add '-316' to each side of the equation. 316 + -316 + 6x = 34 + -316 Combine like terms: 316 + -316 = 0 0 + 6x = 34 + -316 6x = 34 + -316 Combine like terms: 34 + -316 = -282 6x = -282 Divide each side by '6'. x = -47 Simplifying x = -47
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