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Simplifying 12 + -5 = x + -4(2 + x) Combine like terms: 12 + -5 = 7 7 = x + -4(2 + x) 7 = x + (2 * -4 + x * -4) 7 = x + (-8 + -4x) Reorder the terms: 7 = -8 + x + -4x Combine like terms: x + -4x = -3x 7 = -8 + -3x Solving 7 = -8 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 7 + 3x = -8 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + 3x = -8 + 0 7 + 3x = -8 Add '-7' to each side of the equation. 7 + -7 + 3x = -8 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = -8 + -7 3x = -8 + -7 Combine like terms: -8 + -7 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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