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Simplifying x + [x + -4] + 4[x + -4] = 52 Reorder the terms: x + [-4 + x] + 4[x + -4] = 52 Remove brackets around [-4 + x] x + -4 + x + 4[x + -4] = 52 Reorder the terms: x + -4 + x + 4[-4 + x] = 52 x + -4 + x + [-4 * 4 + x * 4] = 52 x + -4 + x + [-16 + 4x] = 52 Reorder the terms: -4 + -16 + x + x + 4x = 52 Combine like terms: -4 + -16 = -20 -20 + x + x + 4x = 52 Combine like terms: x + x = 2x -20 + 2x + 4x = 52 Combine like terms: 2x + 4x = 6x -20 + 6x = 52 Solving -20 + 6x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 6x = 52 + 20 Combine like terms: -20 + 20 = 0 0 + 6x = 52 + 20 6x = 52 + 20 Combine like terms: 52 + 20 = 72 6x = 72 Divide each side by '6'. x = 12 Simplifying x = 12
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