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Simplifying 3x + 43 = 3(3x + 3) + 10 Reorder the terms: 43 + 3x = 3(3x + 3) + 10 Reorder the terms: 43 + 3x = 3(3 + 3x) + 10 43 + 3x = (3 * 3 + 3x * 3) + 10 43 + 3x = (9 + 9x) + 10 Reorder the terms: 43 + 3x = 9 + 10 + 9x Combine like terms: 9 + 10 = 19 43 + 3x = 19 + 9x Solving 43 + 3x = 19 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 43 + 3x + -9x = 19 + 9x + -9x Combine like terms: 3x + -9x = -6x 43 + -6x = 19 + 9x + -9x Combine like terms: 9x + -9x = 0 43 + -6x = 19 + 0 43 + -6x = 19 Add '-43' to each side of the equation. 43 + -43 + -6x = 19 + -43 Combine like terms: 43 + -43 = 0 0 + -6x = 19 + -43 -6x = 19 + -43 Combine like terms: 19 + -43 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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