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Simplifying x + 6 + x + 9 + x + 3 = x + 4 + x + 7 + x + x + 4 + x + 7 Reorder the terms: 6 + 9 + 3 + x + x + x = x + 4 + x + 7 + x + x + 4 + x + 7 Combine like terms: 6 + 9 = 15 15 + 3 + x + x + x = x + 4 + x + 7 + x + x + 4 + x + 7 Combine like terms: 15 + 3 = 18 18 + x + x + x = x + 4 + x + 7 + x + x + 4 + x + 7 Combine like terms: x + x = 2x 18 + 2x + x = x + 4 + x + 7 + x + x + 4 + x + 7 Combine like terms: 2x + x = 3x 18 + 3x = x + 4 + x + 7 + x + x + 4 + x + 7 Reorder the terms: 18 + 3x = 4 + 7 + 4 + 7 + x + x + x + x + x Combine like terms: 4 + 7 = 11 18 + 3x = 11 + 4 + 7 + x + x + x + x + x Combine like terms: 11 + 4 = 15 18 + 3x = 15 + 7 + x + x + x + x + x Combine like terms: 15 + 7 = 22 18 + 3x = 22 + x + x + x + x + x Combine like terms: x + x = 2x 18 + 3x = 22 + 2x + x + x + x Combine like terms: 2x + x = 3x 18 + 3x = 22 + 3x + x + x Combine like terms: 3x + x = 4x 18 + 3x = 22 + 4x + x Combine like terms: 4x + x = 5x 18 + 3x = 22 + 5x Solving 18 + 3x = 22 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 18 + 3x + -5x = 22 + 5x + -5x Combine like terms: 3x + -5x = -2x 18 + -2x = 22 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + -2x = 22 + 0 18 + -2x = 22 Add '-18' to each side of the equation. 18 + -18 + -2x = 22 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = 22 + -18 -2x = 22 + -18 Combine like terms: 22 + -18 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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