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Simplifying 5(9x + -10) + 2 = 2x + -6 Reorder the terms: 5(-10 + 9x) + 2 = 2x + -6 (-10 * 5 + 9x * 5) + 2 = 2x + -6 (-50 + 45x) + 2 = 2x + -6 Reorder the terms: -50 + 2 + 45x = 2x + -6 Combine like terms: -50 + 2 = -48 -48 + 45x = 2x + -6 Reorder the terms: -48 + 45x = -6 + 2x Solving -48 + 45x = -6 + 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. -48 + 45x + -2x = -6 + 2x + -2x Combine like terms: 45x + -2x = 43x -48 + 43x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -48 + 43x = -6 + 0 -48 + 43x = -6 Add '48' to each side of the equation. -48 + 48 + 43x = -6 + 48 Combine like terms: -48 + 48 = 0 0 + 43x = -6 + 48 43x = -6 + 48 Combine like terms: -6 + 48 = 42 43x = 42 Divide each side by '43'. x = 0.976744186 Simplifying x = 0.976744186
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