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Simplifying 13x + -9 = 4(3x + 3) + -3 Reorder the terms: -9 + 13x = 4(3x + 3) + -3 Reorder the terms: -9 + 13x = 4(3 + 3x) + -3 -9 + 13x = (3 * 4 + 3x * 4) + -3 -9 + 13x = (12 + 12x) + -3 Reorder the terms: -9 + 13x = 12 + -3 + 12x Combine like terms: 12 + -3 = 9 -9 + 13x = 9 + 12x Solving -9 + 13x = 9 + 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. -9 + 13x + -12x = 9 + 12x + -12x Combine like terms: 13x + -12x = 1x -9 + 1x = 9 + 12x + -12x Combine like terms: 12x + -12x = 0 -9 + 1x = 9 + 0 -9 + 1x = 9 Add '9' to each side of the equation. -9 + 9 + 1x = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 9 + 9 1x = 9 + 9 Combine like terms: 9 + 9 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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