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Simplifying x + (5x + -2) + (3x + 6) = 10x + 1 Reorder the terms: x + (-2 + 5x) + (3x + 6) = 10x + 1 Remove parenthesis around (-2 + 5x) x + -2 + 5x + (3x + 6) = 10x + 1 Reorder the terms: x + -2 + 5x + (6 + 3x) = 10x + 1 Remove parenthesis around (6 + 3x) x + -2 + 5x + 6 + 3x = 10x + 1 Reorder the terms: -2 + 6 + x + 5x + 3x = 10x + 1 Combine like terms: -2 + 6 = 4 4 + x + 5x + 3x = 10x + 1 Combine like terms: x + 5x = 6x 4 + 6x + 3x = 10x + 1 Combine like terms: 6x + 3x = 9x 4 + 9x = 10x + 1 Reorder the terms: 4 + 9x = 1 + 10x Solving 4 + 9x = 1 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 4 + 9x + -10x = 1 + 10x + -10x Combine like terms: 9x + -10x = -1x 4 + -1x = 1 + 10x + -10x Combine like terms: 10x + -10x = 0 4 + -1x = 1 + 0 4 + -1x = 1 Add '-4' to each side of the equation. 4 + -4 + -1x = 1 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 1 + -4 -1x = 1 + -4 Combine like terms: 1 + -4 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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