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Simplifying x + 6 + x + 3 + x + 9 = x + 4 + x + 4 + x + 1 + x + 1 Reorder the terms: 6 + 3 + 9 + x + x + x = x + 4 + x + 4 + x + 1 + x + 1 Combine like terms: 6 + 3 = 9 9 + 9 + x + x + x = x + 4 + x + 4 + x + 1 + x + 1 Combine like terms: 9 + 9 = 18 18 + x + x + x = x + 4 + x + 4 + x + 1 + x + 1 Combine like terms: x + x = 2x 18 + 2x + x = x + 4 + x + 4 + x + 1 + x + 1 Combine like terms: 2x + x = 3x 18 + 3x = x + 4 + x + 4 + x + 1 + x + 1 Reorder the terms: 18 + 3x = 4 + 4 + 1 + 1 + x + x + x + x Combine like terms: 4 + 4 = 8 18 + 3x = 8 + 1 + 1 + x + x + x + x Combine like terms: 8 + 1 = 9 18 + 3x = 9 + 1 + x + x + x + x Combine like terms: 9 + 1 = 10 18 + 3x = 10 + x + x + x + x Combine like terms: x + x = 2x 18 + 3x = 10 + 2x + x + x Combine like terms: 2x + x = 3x 18 + 3x = 10 + 3x + x Combine like terms: 3x + x = 4x 18 + 3x = 10 + 4x Solving 18 + 3x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 18 + 3x + -4x = 10 + 4x + -4x Combine like terms: 3x + -4x = -1x 18 + -1x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + -1x = 10 + 0 18 + -1x = 10 Add '-18' to each side of the equation. 18 + -18 + -1x = 10 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 10 + -18 -1x = 10 + -18 Combine like terms: 10 + -18 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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