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Simplifying 13x = (4x + x) * 2 + -3x + -1(4 + -1x) * 2 Combine like terms: 4x + x = 5x 13x = (5x) * 2 + -3x + -1(4 + -1x) * 2 Remove parenthesis around (5x) 13x = 5x * 2 + -3x + -1(4 + -1x) * 2 Reorder the terms for easier multiplication: 13x = 5 * 2x + -3x + -1(4 + -1x) * 2 Multiply 5 * 2 13x = 10x + -3x + -1(4 + -1x) * 2 Reorder the terms for easier multiplication: 13x = 10x + -3x + -1 * 2(4 + -1x) Multiply -1 * 2 13x = 10x + -3x + -2(4 + -1x) 13x = 10x + -3x + (4 * -2 + -1x * -2) 13x = 10x + -3x + (-8 + 2x) Reorder the terms: 13x = -8 + 10x + -3x + 2x Combine like terms: 10x + -3x = 7x 13x = -8 + 7x + 2x Combine like terms: 7x + 2x = 9x 13x = -8 + 9x Solving 13x = -8 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 13x + -9x = -8 + 9x + -9x Combine like terms: 13x + -9x = 4x 4x = -8 + 9x + -9x Combine like terms: 9x + -9x = 0 4x = -8 + 0 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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