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Simplifying 5x + -3(2x + 1) = -1(4x + -1) Reorder the terms: 5x + -3(1 + 2x) = -1(4x + -1) 5x + (1 * -3 + 2x * -3) = -1(4x + -1) 5x + (-3 + -6x) = -1(4x + -1) Reorder the terms: -3 + 5x + -6x = -1(4x + -1) Combine like terms: 5x + -6x = -1x -3 + -1x = -1(4x + -1) Reorder the terms: -3 + -1x = -1(-1 + 4x) -3 + -1x = (-1 * -1 + 4x * -1) -3 + -1x = (1 + -4x) Solving -3 + -1x = 1 + -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. -3 + -1x + 4x = 1 + -4x + 4x Combine like terms: -1x + 4x = 3x -3 + 3x = 1 + -4x + 4x Combine like terms: -4x + 4x = 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 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333
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