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Simplifying 4(5x + -1) + 34 = 16x + -2 Reorder the terms: 4(-1 + 5x) + 34 = 16x + -2 (-1 * 4 + 5x * 4) + 34 = 16x + -2 (-4 + 20x) + 34 = 16x + -2 Reorder the terms: -4 + 34 + 20x = 16x + -2 Combine like terms: -4 + 34 = 30 30 + 20x = 16x + -2 Reorder the terms: 30 + 20x = -2 + 16x Solving 30 + 20x = -2 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 30 + 20x + -16x = -2 + 16x + -16x Combine like terms: 20x + -16x = 4x 30 + 4x = -2 + 16x + -16x Combine like terms: 16x + -16x = 0 30 + 4x = -2 + 0 30 + 4x = -2 Add '-30' to each side of the equation. 30 + -30 + 4x = -2 + -30 Combine like terms: 30 + -30 = 0 0 + 4x = -2 + -30 4x = -2 + -30 Combine like terms: -2 + -30 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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