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Simplifying 5(10x + -35) = 3 + -2(x + 3) Reorder the terms: 5(-35 + 10x) = 3 + -2(x + 3) (-35 * 5 + 10x * 5) = 3 + -2(x + 3) (-175 + 50x) = 3 + -2(x + 3) Reorder the terms: -175 + 50x = 3 + -2(3 + x) -175 + 50x = 3 + (3 * -2 + x * -2) -175 + 50x = 3 + (-6 + -2x) Combine like terms: 3 + -6 = -3 -175 + 50x = -3 + -2x Solving -175 + 50x = -3 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -175 + 50x + 2x = -3 + -2x + 2x Combine like terms: 50x + 2x = 52x -175 + 52x = -3 + -2x + 2x Combine like terms: -2x + 2x = 0 -175 + 52x = -3 + 0 -175 + 52x = -3 Add '175' to each side of the equation. -175 + 175 + 52x = -3 + 175 Combine like terms: -175 + 175 = 0 0 + 52x = -3 + 175 52x = -3 + 175 Combine like terms: -3 + 175 = 172 52x = 172 Divide each side by '52'. x = 3.307692308 Simplifying x = 3.307692308
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