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Simplifying 12 + -3x = x + -4(2 + 2x) 12 + -3x = x + (2 * -4 + 2x * -4) 12 + -3x = x + (-8 + -8x) Reorder the terms: 12 + -3x = -8 + x + -8x Combine like terms: x + -8x = -7x 12 + -3x = -8 + -7x Solving 12 + -3x = -8 + -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. 12 + -3x + 7x = -8 + -7x + 7x Combine like terms: -3x + 7x = 4x 12 + 4x = -8 + -7x + 7x Combine like terms: -7x + 7x = 0 12 + 4x = -8 + 0 12 + 4x = -8 Add '-12' to each side of the equation. 12 + -12 + 4x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = -8 + -12 4x = -8 + -12 Combine like terms: -8 + -12 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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