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Simplifying 2(3x + -4) = 8x + -42x Reorder the terms: 2(-4 + 3x) = 8x + -42x (-4 * 2 + 3x * 2) = 8x + -42x (-8 + 6x) = 8x + -42x Combine like terms: 8x + -42x = -34x -8 + 6x = -34x Solving -8 + 6x = -34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34x' to each side of the equation. -8 + 6x + 34x = -34x + 34x Combine like terms: 6x + 34x = 40x -8 + 40x = -34x + 34x Combine like terms: -34x + 34x = 0 -8 + 40x = 0 Add '8' to each side of the equation. -8 + 8 + 40x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 40x = 0 + 8 40x = 0 + 8 Combine like terms: 0 + 8 = 8 40x = 8 Divide each side by '40'. x = 0.2 Simplifying x = 0.2
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