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Simplifying -42 + 7x = 15(-9x + -5) Reorder the terms: -42 + 7x = 15(-5 + -9x) -42 + 7x = (-5 * 15 + -9x * 15) -42 + 7x = (-75 + -135x) Solving -42 + 7x = -75 + -135x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '135x' to each side of the equation. -42 + 7x + 135x = -75 + -135x + 135x Combine like terms: 7x + 135x = 142x -42 + 142x = -75 + -135x + 135x Combine like terms: -135x + 135x = 0 -42 + 142x = -75 + 0 -42 + 142x = -75 Add '42' to each side of the equation. -42 + 42 + 142x = -75 + 42 Combine like terms: -42 + 42 = 0 0 + 142x = -75 + 42 142x = -75 + 42 Combine like terms: -75 + 42 = -33 142x = -33 Divide each side by '142'. x = -0.2323943662 Simplifying x = -0.2323943662
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