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Simplifying 4(x + 2) + 34 = -2x Reorder the terms: 4(2 + x) + 34 = -2x (2 * 4 + x * 4) + 34 = -2x (8 + 4x) + 34 = -2x Reorder the terms: 8 + 34 + 4x = -2x Combine like terms: 8 + 34 = 42 42 + 4x = -2x Solving 42 + 4x = -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. 42 + 4x + 2x = -2x + 2x Combine like terms: 4x + 2x = 6x 42 + 6x = -2x + 2x Combine like terms: -2x + 2x = 0 42 + 6x = 0 Add '-42' to each side of the equation. 42 + -42 + 6x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 6x = 0 + -42 6x = 0 + -42 Combine like terms: 0 + -42 = -42 6x = -42 Divide each side by '6'. x = -7 Simplifying x = -7
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