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Simplifying 3(x + 8) + x + 9 = 9(x + 4) + 4x + -33 Reorder the terms: 3(8 + x) + x + 9 = 9(x + 4) + 4x + -33 (8 * 3 + x * 3) + x + 9 = 9(x + 4) + 4x + -33 (24 + 3x) + x + 9 = 9(x + 4) + 4x + -33 Reorder the terms: 24 + 9 + 3x + x = 9(x + 4) + 4x + -33 Combine like terms: 24 + 9 = 33 33 + 3x + x = 9(x + 4) + 4x + -33 Combine like terms: 3x + x = 4x 33 + 4x = 9(x + 4) + 4x + -33 Reorder the terms: 33 + 4x = 9(4 + x) + 4x + -33 33 + 4x = (4 * 9 + x * 9) + 4x + -33 33 + 4x = (36 + 9x) + 4x + -33 Reorder the terms: 33 + 4x = 36 + -33 + 9x + 4x Combine like terms: 36 + -33 = 3 33 + 4x = 3 + 9x + 4x Combine like terms: 9x + 4x = 13x 33 + 4x = 3 + 13x Solving 33 + 4x = 3 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 33 + 4x + -13x = 3 + 13x + -13x Combine like terms: 4x + -13x = -9x 33 + -9x = 3 + 13x + -13x Combine like terms: 13x + -13x = 0 33 + -9x = 3 + 0 33 + -9x = 3 Add '-33' to each side of the equation. 33 + -33 + -9x = 3 + -33 Combine like terms: 33 + -33 = 0 0 + -9x = 3 + -33 -9x = 3 + -33 Combine like terms: 3 + -33 = -30 -9x = -30 Divide each side by '-9'. x = 3.333333333 Simplifying x = 3.333333333
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