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Simplifying 2(10x + -2) = 3(2x + 11) Reorder the terms: 2(-2 + 10x) = 3(2x + 11) (-2 * 2 + 10x * 2) = 3(2x + 11) (-4 + 20x) = 3(2x + 11) Reorder the terms: -4 + 20x = 3(11 + 2x) -4 + 20x = (11 * 3 + 2x * 3) -4 + 20x = (33 + 6x) Solving -4 + 20x = 33 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 20x + -6x = 33 + 6x + -6x Combine like terms: 20x + -6x = 14x -4 + 14x = 33 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 14x = 33 + 0 -4 + 14x = 33 Add '4' to each side of the equation. -4 + 4 + 14x = 33 + 4 Combine like terms: -4 + 4 = 0 0 + 14x = 33 + 4 14x = 33 + 4 Combine like terms: 33 + 4 = 37 14x = 37 Divide each side by '14'. x = 2.642857143 Simplifying x = 2.642857143
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