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Simplifying 4(4x + -1) = -3x + 34 Reorder the terms: 4(-1 + 4x) = -3x + 34 (-1 * 4 + 4x * 4) = -3x + 34 (-4 + 16x) = -3x + 34 Reorder the terms: -4 + 16x = 34 + -3x Solving -4 + 16x = 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. -4 + 16x + 3x = 34 + -3x + 3x Combine like terms: 16x + 3x = 19x -4 + 19x = 34 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 19x = 34 + 0 -4 + 19x = 34 Add '4' to each side of the equation. -4 + 4 + 19x = 34 + 4 Combine like terms: -4 + 4 = 0 0 + 19x = 34 + 4 19x = 34 + 4 Combine like terms: 34 + 4 = 38 19x = 38 Divide each side by '19'. x = 2 Simplifying x = 2
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