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Simplifying 3(x + -1) + -5(x + 1) + -2(x + -2) = 4x + -6 Reorder the terms: 3(-1 + x) + -5(x + 1) + -2(x + -2) = 4x + -6 (-1 * 3 + x * 3) + -5(x + 1) + -2(x + -2) = 4x + -6 (-3 + 3x) + -5(x + 1) + -2(x + -2) = 4x + -6 Reorder the terms: -3 + 3x + -5(1 + x) + -2(x + -2) = 4x + -6 -3 + 3x + (1 * -5 + x * -5) + -2(x + -2) = 4x + -6 -3 + 3x + (-5 + -5x) + -2(x + -2) = 4x + -6 Reorder the terms: -3 + 3x + -5 + -5x + -2(-2 + x) = 4x + -6 -3 + 3x + -5 + -5x + (-2 * -2 + x * -2) = 4x + -6 -3 + 3x + -5 + -5x + (4 + -2x) = 4x + -6 Reorder the terms: -3 + -5 + 4 + 3x + -5x + -2x = 4x + -6 Combine like terms: -3 + -5 = -8 -8 + 4 + 3x + -5x + -2x = 4x + -6 Combine like terms: -8 + 4 = -4 -4 + 3x + -5x + -2x = 4x + -6 Combine like terms: 3x + -5x = -2x -4 + -2x + -2x = 4x + -6 Combine like terms: -2x + -2x = -4x -4 + -4x = 4x + -6 Reorder the terms: -4 + -4x = -6 + 4x Solving -4 + -4x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4 + -4x + -4x = -6 + 4x + -4x Combine like terms: -4x + -4x = -8x -4 + -8x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -8x = -6 + 0 -4 + -8x = -6 Add '4' to each side of the equation. -4 + 4 + -8x = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = -6 + 4 -8x = -6 + 4 Combine like terms: -6 + 4 = -2 -8x = -2 Divide each side by '-8'. x = 0.25 Simplifying x = 0.25
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