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Simplifying 5(x + -9) * 3 = 5x + -42 Reorder the terms: 5(-9 + x) * 3 = 5x + -42 Reorder the terms for easier multiplication: 5 * 3(-9 + x) = 5x + -42 Multiply 5 * 3 15(-9 + x) = 5x + -42 (-9 * 15 + x * 15) = 5x + -42 (-135 + 15x) = 5x + -42 Reorder the terms: -135 + 15x = -42 + 5x Solving -135 + 15x = -42 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -135 + 15x + -5x = -42 + 5x + -5x Combine like terms: 15x + -5x = 10x -135 + 10x = -42 + 5x + -5x Combine like terms: 5x + -5x = 0 -135 + 10x = -42 + 0 -135 + 10x = -42 Add '135' to each side of the equation. -135 + 135 + 10x = -42 + 135 Combine like terms: -135 + 135 = 0 0 + 10x = -42 + 135 10x = -42 + 135 Combine like terms: -42 + 135 = 93 10x = 93 Divide each side by '10'. x = 9.3 Simplifying x = 9.3
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