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Simplifying 109 + -1(4x + 10) = 4(x + 9) + x Reorder the terms: 109 + -1(10 + 4x) = 4(x + 9) + x 109 + (10 * -1 + 4x * -1) = 4(x + 9) + x 109 + (-10 + -4x) = 4(x + 9) + x Combine like terms: 109 + -10 = 99 99 + -4x = 4(x + 9) + x Reorder the terms: 99 + -4x = 4(9 + x) + x 99 + -4x = (9 * 4 + x * 4) + x 99 + -4x = (36 + 4x) + x Combine like terms: 4x + x = 5x 99 + -4x = 36 + 5x Solving 99 + -4x = 36 + 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. 99 + -4x + -5x = 36 + 5x + -5x Combine like terms: -4x + -5x = -9x 99 + -9x = 36 + 5x + -5x Combine like terms: 5x + -5x = 0 99 + -9x = 36 + 0 99 + -9x = 36 Add '-99' to each side of the equation. 99 + -99 + -9x = 36 + -99 Combine like terms: 99 + -99 = 0 0 + -9x = 36 + -99 -9x = 36 + -99 Combine like terms: 36 + -99 = -63 -9x = -63 Divide each side by '-9'. x = 7 Simplifying x = 7
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