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Simplifying 2(x + -5) + -1(x + 5) = 9 + -3(2x + 1) Reorder the terms: 2(-5 + x) + -1(x + 5) = 9 + -3(2x + 1) (-5 * 2 + x * 2) + -1(x + 5) = 9 + -3(2x + 1) (-10 + 2x) + -1(x + 5) = 9 + -3(2x + 1) Reorder the terms: -10 + 2x + -1(5 + x) = 9 + -3(2x + 1) -10 + 2x + (5 * -1 + x * -1) = 9 + -3(2x + 1) -10 + 2x + (-5 + -1x) = 9 + -3(2x + 1) Reorder the terms: -10 + -5 + 2x + -1x = 9 + -3(2x + 1) Combine like terms: -10 + -5 = -15 -15 + 2x + -1x = 9 + -3(2x + 1) Combine like terms: 2x + -1x = 1x -15 + 1x = 9 + -3(2x + 1) Reorder the terms: -15 + 1x = 9 + -3(1 + 2x) -15 + 1x = 9 + (1 * -3 + 2x * -3) -15 + 1x = 9 + (-3 + -6x) Combine like terms: 9 + -3 = 6 -15 + 1x = 6 + -6x Solving -15 + 1x = 6 + -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. -15 + 1x + 6x = 6 + -6x + 6x Combine like terms: 1x + 6x = 7x -15 + 7x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 -15 + 7x = 6 + 0 -15 + 7x = 6 Add '15' to each side of the equation. -15 + 15 + 7x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = 6 + 15 7x = 6 + 15 Combine like terms: 6 + 15 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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