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Simplifying 9(2x + -5) = 4(x + -5) + -8 Reorder the terms: 9(-5 + 2x) = 4(x + -5) + -8 (-5 * 9 + 2x * 9) = 4(x + -5) + -8 (-45 + 18x) = 4(x + -5) + -8 Reorder the terms: -45 + 18x = 4(-5 + x) + -8 -45 + 18x = (-5 * 4 + x * 4) + -8 -45 + 18x = (-20 + 4x) + -8 Reorder the terms: -45 + 18x = -20 + -8 + 4x Combine like terms: -20 + -8 = -28 -45 + 18x = -28 + 4x Solving -45 + 18x = -28 + 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. -45 + 18x + -4x = -28 + 4x + -4x Combine like terms: 18x + -4x = 14x -45 + 14x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 -45 + 14x = -28 + 0 -45 + 14x = -28 Add '45' to each side of the equation. -45 + 45 + 14x = -28 + 45 Combine like terms: -45 + 45 = 0 0 + 14x = -28 + 45 14x = -28 + 45 Combine like terms: -28 + 45 = 17 14x = 17 Divide each side by '14'. x = 1.214285714 Simplifying x = 1.214285714
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