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Simplifying 12(x + -3) = 13x + 1 Reorder the terms: 12(-3 + x) = 13x + 1 (-3 * 12 + x * 12) = 13x + 1 (-36 + 12x) = 13x + 1 Reorder the terms: -36 + 12x = 1 + 13x Solving -36 + 12x = 1 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -36 + 12x + -13x = 1 + 13x + -13x Combine like terms: 12x + -13x = -1x -36 + -1x = 1 + 13x + -13x Combine like terms: 13x + -13x = 0 -36 + -1x = 1 + 0 -36 + -1x = 1 Add '36' to each side of the equation. -36 + 36 + -1x = 1 + 36 Combine like terms: -36 + 36 = 0 0 + -1x = 1 + 36 -1x = 1 + 36 Combine like terms: 1 + 36 = 37 -1x = 37 Divide each side by '-1'. x = -37 Simplifying x = -37
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