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Simplifying 3(x + -5) = (x + -9)(-2) + 117.1 Reorder the terms: 3(-5 + x) = (x + -9)(-2) + 117.1 (-5 * 3 + x * 3) = (x + -9)(-2) + 117.1 (-15 + 3x) = (x + -9)(-2) + 117.1 Reorder the terms: -15 + 3x = (-9 + x)(-2) + 117.1 Reorder the terms for easier multiplication: -15 + 3x = -2(-9 + x) + 117.1 -15 + 3x = (-9 * -2 + x * -2) + 117.1 -15 + 3x = (18 + -2x) + 117.1 Reorder the terms: -15 + 3x = 18 + 117.1 + -2x Combine like terms: 18 + 117.1 = 135.1 -15 + 3x = 135.1 + -2x Solving -15 + 3x = 135.1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -15 + 3x + 2x = 135.1 + -2x + 2x Combine like terms: 3x + 2x = 5x -15 + 5x = 135.1 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + 5x = 135.1 + 0 -15 + 5x = 135.1 Add '15' to each side of the equation. -15 + 15 + 5x = 135.1 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = 135.1 + 15 5x = 135.1 + 15 Combine like terms: 135.1 + 15 = 150.1 5x = 150.1 Divide each side by '5'. x = 30.02 Simplifying x = 30.02
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