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Simplifying 6x + (4x + 1) = 2x + 9 Reorder the terms: 6x + (1 + 4x) = 2x + 9 Remove parenthesis around (1 + 4x) 6x + 1 + 4x = 2x + 9 Reorder the terms: 1 + 6x + 4x = 2x + 9 Combine like terms: 6x + 4x = 10x 1 + 10x = 2x + 9 Reorder the terms: 1 + 10x = 9 + 2x Solving 1 + 10x = 9 + 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. 1 + 10x + -2x = 9 + 2x + -2x Combine like terms: 10x + -2x = 8x 1 + 8x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 8x = 9 + 0 1 + 8x = 9 Add '-1' to each side of the equation. 1 + -1 + 8x = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 9 + -1 8x = 9 + -1 Combine like terms: 9 + -1 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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