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Simplifying 9(4x + -5) = (1x + 5) + -15 Reorder the terms: 9(-5 + 4x) = (1x + 5) + -15 (-5 * 9 + 4x * 9) = (1x + 5) + -15 (-45 + 36x) = (1x + 5) + -15 Reorder the terms: -45 + 36x = (5 + 1x) + -15 Remove parenthesis around (5 + 1x) -45 + 36x = 5 + 1x + -15 Reorder the terms: -45 + 36x = 5 + -15 + 1x Combine like terms: 5 + -15 = -10 -45 + 36x = -10 + 1x Solving -45 + 36x = -10 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -45 + 36x + -1x = -10 + 1x + -1x Combine like terms: 36x + -1x = 35x -45 + 35x = -10 + 1x + -1x Combine like terms: 1x + -1x = 0 -45 + 35x = -10 + 0 -45 + 35x = -10 Add '45' to each side of the equation. -45 + 45 + 35x = -10 + 45 Combine like terms: -45 + 45 = 0 0 + 35x = -10 + 45 35x = -10 + 45 Combine like terms: -10 + 45 = 35 35x = 35 Divide each side by '35'. x = 1 Simplifying x = 1
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