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Simplifying 6(2x + 1) + 10 = 3(x + -2) Reorder the terms: 6(1 + 2x) + 10 = 3(x + -2) (1 * 6 + 2x * 6) + 10 = 3(x + -2) (6 + 12x) + 10 = 3(x + -2) Reorder the terms: 6 + 10 + 12x = 3(x + -2) Combine like terms: 6 + 10 = 16 16 + 12x = 3(x + -2) Reorder the terms: 16 + 12x = 3(-2 + x) 16 + 12x = (-2 * 3 + x * 3) 16 + 12x = (-6 + 3x) Solving 16 + 12x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 16 + 12x + -3x = -6 + 3x + -3x Combine like terms: 12x + -3x = 9x 16 + 9x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 16 + 9x = -6 + 0 16 + 9x = -6 Add '-16' to each side of the equation. 16 + -16 + 9x = -6 + -16 Combine like terms: 16 + -16 = 0 0 + 9x = -6 + -16 9x = -6 + -16 Combine like terms: -6 + -16 = -22 9x = -22 Divide each side by '9'. x = -2.444444444 Simplifying x = -2.444444444
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