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Simplifying 6(x + 2) + -5(x + 5) = -5x + 9 + 7x + -5 Reorder the terms: 6(2 + x) + -5(x + 5) = -5x + 9 + 7x + -5 (2 * 6 + x * 6) + -5(x + 5) = -5x + 9 + 7x + -5 (12 + 6x) + -5(x + 5) = -5x + 9 + 7x + -5 Reorder the terms: 12 + 6x + -5(5 + x) = -5x + 9 + 7x + -5 12 + 6x + (5 * -5 + x * -5) = -5x + 9 + 7x + -5 12 + 6x + (-25 + -5x) = -5x + 9 + 7x + -5 Reorder the terms: 12 + -25 + 6x + -5x = -5x + 9 + 7x + -5 Combine like terms: 12 + -25 = -13 -13 + 6x + -5x = -5x + 9 + 7x + -5 Combine like terms: 6x + -5x = 1x -13 + 1x = -5x + 9 + 7x + -5 Reorder the terms: -13 + 1x = 9 + -5 + -5x + 7x Combine like terms: 9 + -5 = 4 -13 + 1x = 4 + -5x + 7x Combine like terms: -5x + 7x = 2x -13 + 1x = 4 + 2x Solving -13 + 1x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -13 + 1x + -2x = 4 + 2x + -2x Combine like terms: 1x + -2x = -1x -13 + -1x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + -1x = 4 + 0 -13 + -1x = 4 Add '13' to each side of the equation. -13 + 13 + -1x = 4 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = 4 + 13 -1x = 4 + 13 Combine like terms: 4 + 13 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17
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