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Simplifying 5(-2x + -7) = 4(x + -8) + 15 Reorder the terms: 5(-7 + -2x) = 4(x + -8) + 15 (-7 * 5 + -2x * 5) = 4(x + -8) + 15 (-35 + -10x) = 4(x + -8) + 15 Reorder the terms: -35 + -10x = 4(-8 + x) + 15 -35 + -10x = (-8 * 4 + x * 4) + 15 -35 + -10x = (-32 + 4x) + 15 Reorder the terms: -35 + -10x = -32 + 15 + 4x Combine like terms: -32 + 15 = -17 -35 + -10x = -17 + 4x Solving -35 + -10x = -17 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -35 + -10x + -4x = -17 + 4x + -4x Combine like terms: -10x + -4x = -14x -35 + -14x = -17 + 4x + -4x Combine like terms: 4x + -4x = 0 -35 + -14x = -17 + 0 -35 + -14x = -17 Add '35' to each side of the equation. -35 + 35 + -14x = -17 + 35 Combine like terms: -35 + 35 = 0 0 + -14x = -17 + 35 -14x = -17 + 35 Combine like terms: -17 + 35 = 18 -14x = 18 Divide each side by '-14'. x = -1.285714286 Simplifying x = -1.285714286
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