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Simplifying x + -9 = 5 + -4(2x + -10) Reorder the terms: -9 + x = 5 + -4(2x + -10) Reorder the terms: -9 + x = 5 + -4(-10 + 2x) -9 + x = 5 + (-10 * -4 + 2x * -4) -9 + x = 5 + (40 + -8x) Combine like terms: 5 + 40 = 45 -9 + x = 45 + -8x Solving -9 + x = 45 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -9 + x + 8x = 45 + -8x + 8x Combine like terms: x + 8x = 9x -9 + 9x = 45 + -8x + 8x Combine like terms: -8x + 8x = 0 -9 + 9x = 45 + 0 -9 + 9x = 45 Add '9' to each side of the equation. -9 + 9 + 9x = 45 + 9 Combine like terms: -9 + 9 = 0 0 + 9x = 45 + 9 9x = 45 + 9 Combine like terms: 45 + 9 = 54 9x = 54 Divide each side by '9'. x = 6 Simplifying x = 6
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