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Simplifying -3x + -1(x + 2) = 5 + -2(x + 3) Reorder the terms: -3x + -1(2 + x) = 5 + -2(x + 3) -3x + (2 * -1 + x * -1) = 5 + -2(x + 3) -3x + (-2 + -1x) = 5 + -2(x + 3) Reorder the terms: -2 + -3x + -1x = 5 + -2(x + 3) Combine like terms: -3x + -1x = -4x -2 + -4x = 5 + -2(x + 3) Reorder the terms: -2 + -4x = 5 + -2(3 + x) -2 + -4x = 5 + (3 * -2 + x * -2) -2 + -4x = 5 + (-6 + -2x) Combine like terms: 5 + -6 = -1 -2 + -4x = -1 + -2x Solving -2 + -4x = -1 + -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. -2 + -4x + 2x = -1 + -2x + 2x Combine like terms: -4x + 2x = -2x -2 + -2x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + -2x = -1 + 0 -2 + -2x = -1 Add '2' to each side of the equation. -2 + 2 + -2x = -1 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = -1 + 2 -2x = -1 + 2 Combine like terms: -1 + 2 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5
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