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Simplifying 5x + -2[10 + -1(4 + -1x)] = x 5x + -2[10 + (4 * -1 + -1x * -1)] = x 5x + -2[10 + (-4 + 1x)] = x Combine like terms: 10 + -4 = 6 5x + -2[6 + 1x] = x 5x + [6 * -2 + 1x * -2] = x 5x + [-12 + -2x] = x Reorder the terms: -12 + 5x + -2x = x Combine like terms: 5x + -2x = 3x -12 + 3x = x Solving -12 + 3x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + 3x + -1x = x + -1x Combine like terms: 3x + -1x = 2x -12 + 2x = x + -1x Combine like terms: x + -1x = 0 -12 + 2x = 0 Add '12' to each side of the equation. -12 + 12 + 2x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 0 + 12 2x = 0 + 12 Combine like terms: 0 + 12 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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