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Simplifying 5(x + -2) = 3(7 + -4x) Reorder the terms: 5(-2 + x) = 3(7 + -4x) (-2 * 5 + x * 5) = 3(7 + -4x) (-10 + 5x) = 3(7 + -4x) -10 + 5x = (7 * 3 + -4x * 3) -10 + 5x = (21 + -12x) Solving -10 + 5x = 21 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -10 + 5x + 12x = 21 + -12x + 12x Combine like terms: 5x + 12x = 17x -10 + 17x = 21 + -12x + 12x Combine like terms: -12x + 12x = 0 -10 + 17x = 21 + 0 -10 + 17x = 21 Add '10' to each side of the equation. -10 + 10 + 17x = 21 + 10 Combine like terms: -10 + 10 = 0 0 + 17x = 21 + 10 17x = 21 + 10 Combine like terms: 21 + 10 = 31 17x = 31 Divide each side by '17'. x = 1.823529412 Simplifying x = 1.823529412
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