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Simplifying 3x + -13 = 2(x + 9) Reorder the terms: -13 + 3x = 2(x + 9) Reorder the terms: -13 + 3x = 2(9 + x) -13 + 3x = (9 * 2 + x * 2) -13 + 3x = (18 + 2x) Solving -13 + 3x = 18 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -13 + 3x + -2x = 18 + 2x + -2x Combine like terms: 3x + -2x = 1x -13 + 1x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + 1x = 18 + 0 -13 + 1x = 18 Add '13' to each side of the equation. -13 + 13 + 1x = 18 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = 18 + 13 1x = 18 + 13 Combine like terms: 18 + 13 = 31 1x = 31 Divide each side by '1'. x = 31 Simplifying x = 31
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