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