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Simplifying -28 = 2(x + 3) + -5(x + 5) Reorder the terms: -28 = 2(3 + x) + -5(x + 5) -28 = (3 * 2 + x * 2) + -5(x + 5) -28 = (6 + 2x) + -5(x + 5) Reorder the terms: -28 = 6 + 2x + -5(5 + x) -28 = 6 + 2x + (5 * -5 + x * -5) -28 = 6 + 2x + (-25 + -5x) Reorder the terms: -28 = 6 + -25 + 2x + -5x Combine like terms: 6 + -25 = -19 -28 = -19 + 2x + -5x Combine like terms: 2x + -5x = -3x -28 = -19 + -3x Solving -28 = -19 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -28 + 3x = -19 + -3x + 3x Combine like terms: -3x + 3x = 0 -28 + 3x = -19 + 0 -28 + 3x = -19 Add '28' to each side of the equation. -28 + 28 + 3x = -19 + 28 Combine like terms: -28 + 28 = 0 0 + 3x = -19 + 28 3x = -19 + 28 Combine like terms: -19 + 28 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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