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Simplifying 12x + 1 = 4(x + -5) + -2 Reorder the terms: 1 + 12x = 4(x + -5) + -2 Reorder the terms: 1 + 12x = 4(-5 + x) + -2 1 + 12x = (-5 * 4 + x * 4) + -2 1 + 12x = (-20 + 4x) + -2 Reorder the terms: 1 + 12x = -20 + -2 + 4x Combine like terms: -20 + -2 = -22 1 + 12x = -22 + 4x Solving 1 + 12x = -22 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + 12x + -4x = -22 + 4x + -4x Combine like terms: 12x + -4x = 8x 1 + 8x = -22 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + 8x = -22 + 0 1 + 8x = -22 Add '-1' to each side of the equation. 1 + -1 + 8x = -22 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = -22 + -1 8x = -22 + -1 Combine like terms: -22 + -1 = -23 8x = -23 Divide each side by '8'. x = -2.875 Simplifying x = -2.875
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