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Simplifying 2x + -4(12x + 4) = 34 + -4x Reorder the terms: 2x + -4(4 + 12x) = 34 + -4x 2x + (4 * -4 + 12x * -4) = 34 + -4x 2x + (-16 + -48x) = 34 + -4x Reorder the terms: -16 + 2x + -48x = 34 + -4x Combine like terms: 2x + -48x = -46x -16 + -46x = 34 + -4x Solving -16 + -46x = 34 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -16 + -46x + 4x = 34 + -4x + 4x Combine like terms: -46x + 4x = -42x -16 + -42x = 34 + -4x + 4x Combine like terms: -4x + 4x = 0 -16 + -42x = 34 + 0 -16 + -42x = 34 Add '16' to each side of the equation. -16 + 16 + -42x = 34 + 16 Combine like terms: -16 + 16 = 0 0 + -42x = 34 + 16 -42x = 34 + 16 Combine like terms: 34 + 16 = 50 -42x = 50 Divide each side by '-42'. x = -1.19047619 Simplifying x = -1.19047619
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