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