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Simplifying 4x + -1(3 + 5x) = 2(x + -1) + 1 4x + (3 * -1 + 5x * -1) = 2(x + -1) + 1 4x + (-3 + -5x) = 2(x + -1) + 1 Reorder the terms: -3 + 4x + -5x = 2(x + -1) + 1 Combine like terms: 4x + -5x = -1x -3 + -1x = 2(x + -1) + 1 Reorder the terms: -3 + -1x = 2(-1 + x) + 1 -3 + -1x = (-1 * 2 + x * 2) + 1 -3 + -1x = (-2 + 2x) + 1 Reorder the terms: -3 + -1x = -2 + 1 + 2x Combine like terms: -2 + 1 = -1 -3 + -1x = -1 + 2x Solving -3 + -1x = -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. -3 + -1x + -2x = -1 + 2x + -2x Combine like terms: -1x + -2x = -3x -3 + -3x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + -3x = -1 + 0 -3 + -3x = -1 Add '3' to each side of the equation. -3 + 3 + -3x = -1 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = -1 + 3 -3x = -1 + 3 Combine like terms: -1 + 3 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667
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