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Simplifying 5x + -1(2x + 4) = x + 5 + 2x + -3 + 3x Reorder the terms: 5x + -1(4 + 2x) = x + 5 + 2x + -3 + 3x 5x + (4 * -1 + 2x * -1) = x + 5 + 2x + -3 + 3x 5x + (-4 + -2x) = x + 5 + 2x + -3 + 3x Reorder the terms: -4 + 5x + -2x = x + 5 + 2x + -3 + 3x Combine like terms: 5x + -2x = 3x -4 + 3x = x + 5 + 2x + -3 + 3x Reorder the terms: -4 + 3x = 5 + -3 + x + 2x + 3x Combine like terms: 5 + -3 = 2 -4 + 3x = 2 + x + 2x + 3x Combine like terms: x + 2x = 3x -4 + 3x = 2 + 3x + 3x Combine like terms: 3x + 3x = 6x -4 + 3x = 2 + 6x Solving -4 + 3x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 3x + -6x = 2 + 6x + -6x Combine like terms: 3x + -6x = -3x -4 + -3x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -3x = 2 + 0 -4 + -3x = 2 Add '4' to each side of the equation. -4 + 4 + -3x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 2 + 4 -3x = 2 + 4 Combine like terms: 2 + 4 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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