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Simplifying 12 + -3(4x + 2) = 3x + 4(x + -8) Reorder the terms: 12 + -3(2 + 4x) = 3x + 4(x + -8) 12 + (2 * -3 + 4x * -3) = 3x + 4(x + -8) 12 + (-6 + -12x) = 3x + 4(x + -8) Combine like terms: 12 + -6 = 6 6 + -12x = 3x + 4(x + -8) Reorder the terms: 6 + -12x = 3x + 4(-8 + x) 6 + -12x = 3x + (-8 * 4 + x * 4) 6 + -12x = 3x + (-32 + 4x) Reorder the terms: 6 + -12x = -32 + 3x + 4x Combine like terms: 3x + 4x = 7x 6 + -12x = -32 + 7x Solving 6 + -12x = -32 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + -12x + -7x = -32 + 7x + -7x Combine like terms: -12x + -7x = -19x 6 + -19x = -32 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -19x = -32 + 0 6 + -19x = -32 Add '-6' to each side of the equation. 6 + -6 + -19x = -32 + -6 Combine like terms: 6 + -6 = 0 0 + -19x = -32 + -6 -19x = -32 + -6 Combine like terms: -32 + -6 = -38 -19x = -38 Divide each side by '-19'. x = 2 Simplifying x = 2
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