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Simplifying 10x + (-9 + 10x) = 1 + 6(10x + -9 + 10x) Remove parenthesis around (-9 + 10x) 10x + -9 + 10x = 1 + 6(10x + -9 + 10x) Reorder the terms: -9 + 10x + 10x = 1 + 6(10x + -9 + 10x) Combine like terms: 10x + 10x = 20x -9 + 20x = 1 + 6(10x + -9 + 10x) Reorder the terms: -9 + 20x = 1 + 6(-9 + 10x + 10x) Combine like terms: 10x + 10x = 20x -9 + 20x = 1 + 6(-9 + 20x) -9 + 20x = 1 + (-9 * 6 + 20x * 6) -9 + 20x = 1 + (-54 + 120x) Combine like terms: 1 + -54 = -53 -9 + 20x = -53 + 120x Solving -9 + 20x = -53 + 120x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120x' to each side of the equation. -9 + 20x + -120x = -53 + 120x + -120x Combine like terms: 20x + -120x = -100x -9 + -100x = -53 + 120x + -120x Combine like terms: 120x + -120x = 0 -9 + -100x = -53 + 0 -9 + -100x = -53 Add '9' to each side of the equation. -9 + 9 + -100x = -53 + 9 Combine like terms: -9 + 9 = 0 0 + -100x = -53 + 9 -100x = -53 + 9 Combine like terms: -53 + 9 = -44 -100x = -44 Divide each side by '-100'. x = 0.44 Simplifying x = 0.44
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