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Simplifying 2 + -3(x + 4) = 9 + -1(3 + 2x) Reorder the terms: 2 + -3(4 + x) = 9 + -1(3 + 2x) 2 + (4 * -3 + x * -3) = 9 + -1(3 + 2x) 2 + (-12 + -3x) = 9 + -1(3 + 2x) Combine like terms: 2 + -12 = -10 -10 + -3x = 9 + -1(3 + 2x) -10 + -3x = 9 + (3 * -1 + 2x * -1) -10 + -3x = 9 + (-3 + -2x) Combine like terms: 9 + -3 = 6 -10 + -3x = 6 + -2x Solving -10 + -3x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -10 + -3x + 2x = 6 + -2x + 2x Combine like terms: -3x + 2x = -1x -10 + -1x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + -1x = 6 + 0 -10 + -1x = 6 Add '10' to each side of the equation. -10 + 10 + -1x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 6 + 10 -1x = 6 + 10 Combine like terms: 6 + 10 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16
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