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Simplifying 2(x + -3) + 12 = 4(x + 4) Reorder the terms: 2(-3 + x) + 12 = 4(x + 4) (-3 * 2 + x * 2) + 12 = 4(x + 4) (-6 + 2x) + 12 = 4(x + 4) Reorder the terms: -6 + 12 + 2x = 4(x + 4) Combine like terms: -6 + 12 = 6 6 + 2x = 4(x + 4) Reorder the terms: 6 + 2x = 4(4 + x) 6 + 2x = (4 * 4 + x * 4) 6 + 2x = (16 + 4x) Solving 6 + 2x = 16 + 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. 6 + 2x + -4x = 16 + 4x + -4x Combine like terms: 2x + -4x = -2x 6 + -2x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -2x = 16 + 0 6 + -2x = 16 Add '-6' to each side of the equation. 6 + -6 + -2x = 16 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 16 + -6 -2x = 16 + -6 Combine like terms: 16 + -6 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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