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Simplifying 3(3x + 1) = 10x + -2 Reorder the terms: 3(1 + 3x) = 10x + -2 (1 * 3 + 3x * 3) = 10x + -2 (3 + 9x) = 10x + -2 Reorder the terms: 3 + 9x = -2 + 10x Solving 3 + 9x = -2 + 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. 3 + 9x + -10x = -2 + 10x + -10x Combine like terms: 9x + -10x = -1x 3 + -1x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 3 + -1x = -2 + 0 3 + -1x = -2 Add '-3' to each side of the equation. 3 + -3 + -1x = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = -2 + -3 -1x = -2 + -3 Combine like terms: -2 + -3 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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