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Simplifying 2(x + -3) + -3(x + -1) + -5 = 3x Reorder the terms: 2(-3 + x) + -3(x + -1) + -5 = 3x (-3 * 2 + x * 2) + -3(x + -1) + -5 = 3x (-6 + 2x) + -3(x + -1) + -5 = 3x Reorder the terms: -6 + 2x + -3(-1 + x) + -5 = 3x -6 + 2x + (-1 * -3 + x * -3) + -5 = 3x -6 + 2x + (3 + -3x) + -5 = 3x Reorder the terms: -6 + 3 + -5 + 2x + -3x = 3x Combine like terms: -6 + 3 = -3 -3 + -5 + 2x + -3x = 3x Combine like terms: -3 + -5 = -8 -8 + 2x + -3x = 3x Combine like terms: 2x + -3x = -1x -8 + -1x = 3x Solving -8 + -1x = 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. -8 + -1x + -3x = 3x + -3x Combine like terms: -1x + -3x = -4x -8 + -4x = 3x + -3x Combine like terms: 3x + -3x = 0 -8 + -4x = 0 Add '8' to each side of the equation. -8 + 8 + -4x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = 0 + 8 -4x = 0 + 8 Combine like terms: 0 + 8 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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