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Simplifying -34 + 3x = 4(2 + -4x) + -2x -34 + 3x = (2 * 4 + -4x * 4) + -2x -34 + 3x = (8 + -16x) + -2x Combine like terms: -16x + -2x = -18x -34 + 3x = 8 + -18x Solving -34 + 3x = 8 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -34 + 3x + 18x = 8 + -18x + 18x Combine like terms: 3x + 18x = 21x -34 + 21x = 8 + -18x + 18x Combine like terms: -18x + 18x = 0 -34 + 21x = 8 + 0 -34 + 21x = 8 Add '34' to each side of the equation. -34 + 34 + 21x = 8 + 34 Combine like terms: -34 + 34 = 0 0 + 21x = 8 + 34 21x = 8 + 34 Combine like terms: 8 + 34 = 42 21x = 42 Divide each side by '21'. x = 2 Simplifying x = 2
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