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Simplifying 4(x + 4) + -12 = 6x + -2 Reorder the terms: 4(4 + x) + -12 = 6x + -2 (4 * 4 + x * 4) + -12 = 6x + -2 (16 + 4x) + -12 = 6x + -2 Reorder the terms: 16 + -12 + 4x = 6x + -2 Combine like terms: 16 + -12 = 4 4 + 4x = 6x + -2 Reorder the terms: 4 + 4x = -2 + 6x Solving 4 + 4x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 4x + -6x = -2 + 6x + -6x Combine like terms: 4x + -6x = -2x 4 + -2x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -2x = -2 + 0 4 + -2x = -2 Add '-4' to each side of the equation. 4 + -4 + -2x = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = -2 + -4 -2x = -2 + -4 Combine like terms: -2 + -4 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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