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Simplifying 3(x + 1) + -2 = 9x + 10 Reorder the terms: 3(1 + x) + -2 = 9x + 10 (1 * 3 + x * 3) + -2 = 9x + 10 (3 + 3x) + -2 = 9x + 10 Reorder the terms: 3 + -2 + 3x = 9x + 10 Combine like terms: 3 + -2 = 1 1 + 3x = 9x + 10 Reorder the terms: 1 + 3x = 10 + 9x Solving 1 + 3x = 10 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 1 + 3x + -9x = 10 + 9x + -9x Combine like terms: 3x + -9x = -6x 1 + -6x = 10 + 9x + -9x Combine like terms: 9x + -9x = 0 1 + -6x = 10 + 0 1 + -6x = 10 Add '-1' to each side of the equation. 1 + -1 + -6x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 10 + -1 -6x = 10 + -1 Combine like terms: 10 + -1 = 9 -6x = 9 Divide each side by '-6'. x = -1.5 Simplifying x = -1.5
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