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Simplifying 2(x + -1) + -3x = 16 + -3(x + 2) Reorder the terms: 2(-1 + x) + -3x = 16 + -3(x + 2) (-1 * 2 + x * 2) + -3x = 16 + -3(x + 2) (-2 + 2x) + -3x = 16 + -3(x + 2) Combine like terms: 2x + -3x = -1x -2 + -1x = 16 + -3(x + 2) Reorder the terms: -2 + -1x = 16 + -3(2 + x) -2 + -1x = 16 + (2 * -3 + x * -3) -2 + -1x = 16 + (-6 + -3x) Combine like terms: 16 + -6 = 10 -2 + -1x = 10 + -3x Solving -2 + -1x = 10 + -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. -2 + -1x + 3x = 10 + -3x + 3x Combine like terms: -1x + 3x = 2x -2 + 2x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 2x = 10 + 0 -2 + 2x = 10 Add '2' to each side of the equation. -2 + 2 + 2x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 10 + 2 2x = 10 + 2 Combine like terms: 10 + 2 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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