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Simplifying 13x + -23 = 4(3x + -1) Reorder the terms: -23 + 13x = 4(3x + -1) Reorder the terms: -23 + 13x = 4(-1 + 3x) -23 + 13x = (-1 * 4 + 3x * 4) -23 + 13x = (-4 + 12x) Solving -23 + 13x = -4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -23 + 13x + -12x = -4 + 12x + -12x Combine like terms: 13x + -12x = 1x -23 + 1x = -4 + 12x + -12x Combine like terms: 12x + -12x = 0 -23 + 1x = -4 + 0 -23 + 1x = -4 Add '23' to each side of the equation. -23 + 23 + 1x = -4 + 23 Combine like terms: -23 + 23 = 0 0 + 1x = -4 + 23 1x = -4 + 23 Combine like terms: -4 + 23 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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