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Simplifying 2(5x + -2) = 3(x + 11) Reorder the terms: 2(-2 + 5x) = 3(x + 11) (-2 * 2 + 5x * 2) = 3(x + 11) (-4 + 10x) = 3(x + 11) Reorder the terms: -4 + 10x = 3(11 + x) -4 + 10x = (11 * 3 + x * 3) -4 + 10x = (33 + 3x) Solving -4 + 10x = 33 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 10x + -3x = 33 + 3x + -3x Combine like terms: 10x + -3x = 7x -4 + 7x = 33 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 7x = 33 + 0 -4 + 7x = 33 Add '4' to each side of the equation. -4 + 4 + 7x = 33 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 33 + 4 7x = 33 + 4 Combine like terms: 33 + 4 = 37 7x = 37 Divide each side by '7'. x = 5.285714286 Simplifying x = 5.285714286
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