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Simplifying 4x + 2[4 + -2(x + 12)] = 2x + -4 Reorder the terms: 4x + 2[4 + -2(12 + x)] = 2x + -4 4x + 2[4 + (12 * -2 + x * -2)] = 2x + -4 4x + 2[4 + (-24 + -2x)] = 2x + -4 Combine like terms: 4 + -24 = -20 4x + 2[-20 + -2x] = 2x + -4 4x + [-20 * 2 + -2x * 2] = 2x + -4 4x + [-40 + -4x] = 2x + -4 Reorder the terms: -40 + 4x + -4x = 2x + -4 Combine like terms: 4x + -4x = 0 -40 + 0 = 2x + -4 -40 = 2x + -4 Reorder the terms: -40 = -4 + 2x Solving -40 = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -40 + -2x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -40 + -2x = -4 + 0 -40 + -2x = -4 Add '40' to each side of the equation. -40 + 40 + -2x = -4 + 40 Combine like terms: -40 + 40 = 0 0 + -2x = -4 + 40 -2x = -4 + 40 Combine like terms: -4 + 40 = 36 -2x = 36 Divide each side by '-2'. x = -18 Simplifying x = -18
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