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Simplifying 3x + -1(4x + 2) = x + -5 Reorder the terms: 3x + -1(2 + 4x) = x + -5 3x + (2 * -1 + 4x * -1) = x + -5 3x + (-2 + -4x) = x + -5 Reorder the terms: -2 + 3x + -4x = x + -5 Combine like terms: 3x + -4x = -1x -2 + -1x = x + -5 Reorder the terms: -2 + -1x = -5 + x Solving -2 + -1x = -5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + -1x + -1x = -5 + x + -1x Combine like terms: -1x + -1x = -2x -2 + -2x = -5 + x + -1x Combine like terms: x + -1x = 0 -2 + -2x = -5 + 0 -2 + -2x = -5 Add '2' to each side of the equation. -2 + 2 + -2x = -5 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = -5 + 2 -2x = -5 + 2 Combine like terms: -5 + 2 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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