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Simplifying 4x + 2[4 + -2(x + 21)] = 2x + -4 Reorder the terms: 4x + 2[4 + -2(21 + x)] = 2x + -4 4x + 2[4 + (21 * -2 + x * -2)] = 2x + -4 4x + 2[4 + (-42 + -2x)] = 2x + -4 Combine like terms: 4 + -42 = -38 4x + 2[-38 + -2x] = 2x + -4 4x + [-38 * 2 + -2x * 2] = 2x + -4 4x + [-76 + -4x] = 2x + -4 Reorder the terms: -76 + 4x + -4x = 2x + -4 Combine like terms: 4x + -4x = 0 -76 + 0 = 2x + -4 -76 = 2x + -4 Reorder the terms: -76 = -4 + 2x Solving -76 = -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. -76 + -2x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -76 + -2x = -4 + 0 -76 + -2x = -4 Add '76' to each side of the equation. -76 + 76 + -2x = -4 + 76 Combine like terms: -76 + 76 = 0 0 + -2x = -4 + 76 -2x = -4 + 76 Combine like terms: -4 + 76 = 72 -2x = 72 Divide each side by '-2'. x = -36 Simplifying x = -36
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