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Simplifying 2x + -1(3x + 5) = 15 + 6(x + -1) Reorder the terms: 2x + -1(5 + 3x) = 15 + 6(x + -1) 2x + (5 * -1 + 3x * -1) = 15 + 6(x + -1) 2x + (-5 + -3x) = 15 + 6(x + -1) Reorder the terms: -5 + 2x + -3x = 15 + 6(x + -1) Combine like terms: 2x + -3x = -1x -5 + -1x = 15 + 6(x + -1) Reorder the terms: -5 + -1x = 15 + 6(-1 + x) -5 + -1x = 15 + (-1 * 6 + x * 6) -5 + -1x = 15 + (-6 + 6x) Combine like terms: 15 + -6 = 9 -5 + -1x = 9 + 6x Solving -5 + -1x = 9 + 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. -5 + -1x + -6x = 9 + 6x + -6x Combine like terms: -1x + -6x = -7x -5 + -7x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -7x = 9 + 0 -5 + -7x = 9 Add '5' to each side of the equation. -5 + 5 + -7x = 9 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = 9 + 5 -7x = 9 + 5 Combine like terms: 9 + 5 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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