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Simplifying -5(9 + -6x) = 2x + -2 (9 * -5 + -6x * -5) = 2x + -2 (-45 + 30x) = 2x + -2 Reorder the terms: -45 + 30x = -2 + 2x Solving -45 + 30x = -2 + 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. -45 + 30x + -2x = -2 + 2x + -2x Combine like terms: 30x + -2x = 28x -45 + 28x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -45 + 28x = -2 + 0 -45 + 28x = -2 Add '45' to each side of the equation. -45 + 45 + 28x = -2 + 45 Combine like terms: -45 + 45 = 0 0 + 28x = -2 + 45 28x = -2 + 45 Combine like terms: -2 + 45 = 43 28x = 43 Divide each side by '28'. x = 1.535714286 Simplifying x = 1.535714286
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