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Simplifying 3x = x + -1(1 + -1(x + -30)) Reorder the terms: 3x = x + -1(1 + -1(-30 + x)) 3x = x + -1(1 + (-30 * -1 + x * -1)) 3x = x + -1(1 + (30 + -1x)) Combine like terms: 1 + 30 = 31 3x = x + -1(31 + -1x) 3x = x + (31 * -1 + -1x * -1) 3x = x + (-31 + 1x) Reorder the terms: 3x = -31 + x + 1x Combine like terms: x + 1x = 2x 3x = -31 + 2x Solving 3x = -31 + 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. 3x + -2x = -31 + 2x + -2x Combine like terms: 3x + -2x = 1x 1x = -31 + 2x + -2x Combine like terms: 2x + -2x = 0 1x = -31 + 0 1x = -31 Divide each side by '1'. x = -31 Simplifying x = -31
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