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Simplifying 5(5 + -2x) = 11 + 9(x + -2) (5 * 5 + -2x * 5) = 11 + 9(x + -2) (25 + -10x) = 11 + 9(x + -2) Reorder the terms: 25 + -10x = 11 + 9(-2 + x) 25 + -10x = 11 + (-2 * 9 + x * 9) 25 + -10x = 11 + (-18 + 9x) Combine like terms: 11 + -18 = -7 25 + -10x = -7 + 9x Solving 25 + -10x = -7 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 25 + -10x + -9x = -7 + 9x + -9x Combine like terms: -10x + -9x = -19x 25 + -19x = -7 + 9x + -9x Combine like terms: 9x + -9x = 0 25 + -19x = -7 + 0 25 + -19x = -7 Add '-25' to each side of the equation. 25 + -25 + -19x = -7 + -25 Combine like terms: 25 + -25 = 0 0 + -19x = -7 + -25 -19x = -7 + -25 Combine like terms: -7 + -25 = -32 -19x = -32 Divide each side by '-19'. x = 1.684210526 Simplifying x = 1.684210526
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