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Simplifying 5(x + -6) + 5x = 100x Reorder the terms: 5(-6 + x) + 5x = 100x (-6 * 5 + x * 5) + 5x = 100x (-30 + 5x) + 5x = 100x Combine like terms: 5x + 5x = 10x -30 + 10x = 100x Solving -30 + 10x = 100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100x' to each side of the equation. -30 + 10x + -100x = 100x + -100x Combine like terms: 10x + -100x = -90x -30 + -90x = 100x + -100x Combine like terms: 100x + -100x = 0 -30 + -90x = 0 Add '30' to each side of the equation. -30 + 30 + -90x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -90x = 0 + 30 -90x = 0 + 30 Combine like terms: 0 + 30 = 30 -90x = 30 Divide each side by '-90'. x = -0.3333333333 Simplifying x = -0.3333333333
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