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Simplifying 10 + -1(9x + -6) = 3(x + 4) Reorder the terms: 10 + -1(-6 + 9x) = 3(x + 4) 10 + (-6 * -1 + 9x * -1) = 3(x + 4) 10 + (6 + -9x) = 3(x + 4) Combine like terms: 10 + 6 = 16 16 + -9x = 3(x + 4) Reorder the terms: 16 + -9x = 3(4 + x) 16 + -9x = (4 * 3 + x * 3) 16 + -9x = (12 + 3x) Solving 16 + -9x = 12 + 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 + -9x + -3x = 12 + 3x + -3x Combine like terms: -9x + -3x = -12x 16 + -12x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 16 + -12x = 12 + 0 16 + -12x = 12 Add '-16' to each side of the equation. 16 + -16 + -12x = 12 + -16 Combine like terms: 16 + -16 = 0 0 + -12x = 12 + -16 -12x = 12 + -16 Combine like terms: 12 + -16 = -4 -12x = -4 Divide each side by '-12'. x = 0.3333333333 Simplifying x = 0.3333333333
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