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Simplifying 3(x + -2) + -1(4 + -1x) = 2(x + 3) Reorder the terms: 3(-2 + x) + -1(4 + -1x) = 2(x + 3) (-2 * 3 + x * 3) + -1(4 + -1x) = 2(x + 3) (-6 + 3x) + -1(4 + -1x) = 2(x + 3) -6 + 3x + (4 * -1 + -1x * -1) = 2(x + 3) -6 + 3x + (-4 + 1x) = 2(x + 3) Reorder the terms: -6 + -4 + 3x + 1x = 2(x + 3) Combine like terms: -6 + -4 = -10 -10 + 3x + 1x = 2(x + 3) Combine like terms: 3x + 1x = 4x -10 + 4x = 2(x + 3) Reorder the terms: -10 + 4x = 2(3 + x) -10 + 4x = (3 * 2 + x * 2) -10 + 4x = (6 + 2x) Solving -10 + 4x = 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 + 4x + -2x = 6 + 2x + -2x Combine like terms: 4x + -2x = 2x -10 + 2x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 2x = 6 + 0 -10 + 2x = 6 Add '10' to each side of the equation. -10 + 10 + 2x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 6 + 10 2x = 6 + 10 Combine like terms: 6 + 10 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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