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Simplifying 3x + -1(2 + 5x) = 2(x + -1) + 1 3x + (2 * -1 + 5x * -1) = 2(x + -1) + 1 3x + (-2 + -5x) = 2(x + -1) + 1 Reorder the terms: -2 + 3x + -5x = 2(x + -1) + 1 Combine like terms: 3x + -5x = -2x -2 + -2x = 2(x + -1) + 1 Reorder the terms: -2 + -2x = 2(-1 + x) + 1 -2 + -2x = (-1 * 2 + x * 2) + 1 -2 + -2x = (-2 + 2x) + 1 Reorder the terms: -2 + -2x = -2 + 1 + 2x Combine like terms: -2 + 1 = -1 -2 + -2x = -1 + 2x Solving -2 + -2x = -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 + -2x + -2x = -1 + 2x + -2x Combine like terms: -2x + -2x = -4x -2 + -4x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -4x = -1 + 0 -2 + -4x = -1 Add '2' to each side of the equation. -2 + 2 + -4x = -1 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = -1 + 2 -4x = -1 + 2 Combine like terms: -1 + 2 = 1 -4x = 1 Divide each side by '-4'. x = -0.25 Simplifying x = -0.25
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