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Simplifying 4(x + -2) = 34 + -3x Reorder the terms: 4(-2 + x) = 34 + -3x (-2 * 4 + x * 4) = 34 + -3x (-8 + 4x) = 34 + -3x Solving -8 + 4x = 34 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -8 + 4x + 3x = 34 + -3x + 3x Combine like terms: 4x + 3x = 7x -8 + 7x = 34 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 7x = 34 + 0 -8 + 7x = 34 Add '8' to each side of the equation. -8 + 8 + 7x = 34 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = 34 + 8 7x = 34 + 8 Combine like terms: 34 + 8 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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