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Simplifying 13x + -3 = 4(3x + 2) + -5 Reorder the terms: -3 + 13x = 4(3x + 2) + -5 Reorder the terms: -3 + 13x = 4(2 + 3x) + -5 -3 + 13x = (2 * 4 + 3x * 4) + -5 -3 + 13x = (8 + 12x) + -5 Reorder the terms: -3 + 13x = 8 + -5 + 12x Combine like terms: 8 + -5 = 3 -3 + 13x = 3 + 12x Solving -3 + 13x = 3 + 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. -3 + 13x + -12x = 3 + 12x + -12x Combine like terms: 13x + -12x = 1x -3 + 1x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + 1x = 3 + 0 -3 + 1x = 3 Add '3' to each side of the equation. -3 + 3 + 1x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 3 + 3 1x = 3 + 3 Combine like terms: 3 + 3 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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