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Simplifying 2(4x + -7) = 5(-2x + -9) + -5 Reorder the terms: 2(-7 + 4x) = 5(-2x + -9) + -5 (-7 * 2 + 4x * 2) = 5(-2x + -9) + -5 (-14 + 8x) = 5(-2x + -9) + -5 Reorder the terms: -14 + 8x = 5(-9 + -2x) + -5 -14 + 8x = (-9 * 5 + -2x * 5) + -5 -14 + 8x = (-45 + -10x) + -5 Reorder the terms: -14 + 8x = -45 + -5 + -10x Combine like terms: -45 + -5 = -50 -14 + 8x = -50 + -10x Solving -14 + 8x = -50 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -14 + 8x + 10x = -50 + -10x + 10x Combine like terms: 8x + 10x = 18x -14 + 18x = -50 + -10x + 10x Combine like terms: -10x + 10x = 0 -14 + 18x = -50 + 0 -14 + 18x = -50 Add '14' to each side of the equation. -14 + 14 + 18x = -50 + 14 Combine like terms: -14 + 14 = 0 0 + 18x = -50 + 14 18x = -50 + 14 Combine like terms: -50 + 14 = -36 18x = -36 Divide each side by '18'. x = -2 Simplifying x = -2
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