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Simplifying 7(x + -2) + 2(x + -4) + -5(x + -1) = -8 Reorder the terms: 7(-2 + x) + 2(x + -4) + -5(x + -1) = -8 (-2 * 7 + x * 7) + 2(x + -4) + -5(x + -1) = -8 (-14 + 7x) + 2(x + -4) + -5(x + -1) = -8 Reorder the terms: -14 + 7x + 2(-4 + x) + -5(x + -1) = -8 -14 + 7x + (-4 * 2 + x * 2) + -5(x + -1) = -8 -14 + 7x + (-8 + 2x) + -5(x + -1) = -8 Reorder the terms: -14 + 7x + -8 + 2x + -5(-1 + x) = -8 -14 + 7x + -8 + 2x + (-1 * -5 + x * -5) = -8 -14 + 7x + -8 + 2x + (5 + -5x) = -8 Reorder the terms: -14 + -8 + 5 + 7x + 2x + -5x = -8 Combine like terms: -14 + -8 = -22 -22 + 5 + 7x + 2x + -5x = -8 Combine like terms: -22 + 5 = -17 -17 + 7x + 2x + -5x = -8 Combine like terms: 7x + 2x = 9x -17 + 9x + -5x = -8 Combine like terms: 9x + -5x = 4x -17 + 4x = -8 Solving -17 + 4x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 4x = -8 + 17 Combine like terms: -17 + 17 = 0 0 + 4x = -8 + 17 4x = -8 + 17 Combine like terms: -8 + 17 = 9 4x = 9 Divide each side by '4'. x = 2.25 Simplifying x = 2.25
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