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Simplifying 9(x + -2) * 2 + 17(y + -4) * 2 = 153 Reorder the terms: 9(-2 + x) * 2 + 17(y + -4) * 2 = 153 Reorder the terms for easier multiplication: 9 * 2(-2 + x) + 17(y + -4) * 2 = 153 Multiply 9 * 2 18(-2 + x) + 17(y + -4) * 2 = 153 (-2 * 18 + x * 18) + 17(y + -4) * 2 = 153 (-36 + 18x) + 17(y + -4) * 2 = 153 Reorder the terms: -36 + 18x + 17(-4 + y) * 2 = 153 Reorder the terms for easier multiplication: -36 + 18x + 17 * 2(-4 + y) = 153 Multiply 17 * 2 -36 + 18x + 34(-4 + y) = 153 -36 + 18x + (-4 * 34 + y * 34) = 153 -36 + 18x + (-136 + 34y) = 153 Reorder the terms: -36 + -136 + 18x + 34y = 153 Combine like terms: -36 + -136 = -172 -172 + 18x + 34y = 153 Solving -172 + 18x + 34y = 153 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '172' to each side of the equation. -172 + 18x + 172 + 34y = 153 + 172 Reorder the terms: -172 + 172 + 18x + 34y = 153 + 172 Combine like terms: -172 + 172 = 0 0 + 18x + 34y = 153 + 172 18x + 34y = 153 + 172 Combine like terms: 153 + 172 = 325 18x + 34y = 325 Add '-34y' to each side of the equation. 18x + 34y + -34y = 325 + -34y Combine like terms: 34y + -34y = 0 18x + 0 = 325 + -34y 18x = 325 + -34y Divide each side by '18'. x = 18.05555556 + -1.888888889y Simplifying x = 18.05555556 + -1.888888889y
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