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Simplifying 5x + -1(-1x) = 2[-4 + -1(3 + 5x + -13)] Remove parenthesis around (-1x) 5x + -1 * -1x = 2[-4 + -1(3 + 5x + -13)] Multiply -1 * -1 5x + 1x = 2[-4 + -1(3 + 5x + -13)] Combine like terms: 5x + 1x = 6x 6x = 2[-4 + -1(3 + 5x + -13)] Reorder the terms: 6x = 2[-4 + -1(3 + -13 + 5x)] Combine like terms: 3 + -13 = -10 6x = 2[-4 + -1(-10 + 5x)] 6x = 2[-4 + (-10 * -1 + 5x * -1)] 6x = 2[-4 + (10 + -5x)] Combine like terms: -4 + 10 = 6 6x = 2[6 + -5x] 6x = [6 * 2 + -5x * 2] 6x = [12 + -10x] Solving 6x = 12 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 6x + 10x = 12 + -10x + 10x Combine like terms: 6x + 10x = 16x 16x = 12 + -10x + 10x Combine like terms: -10x + 10x = 0 16x = 12 + 0 16x = 12 Divide each side by '16'. x = 0.75 Simplifying x = 0.75
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