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Simplifying 5(3x + -2) = 2(7 + -3x) Reorder the terms: 5(-2 + 3x) = 2(7 + -3x) (-2 * 5 + 3x * 5) = 2(7 + -3x) (-10 + 15x) = 2(7 + -3x) -10 + 15x = (7 * 2 + -3x * 2) -10 + 15x = (14 + -6x) Solving -10 + 15x = 14 + -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. -10 + 15x + 6x = 14 + -6x + 6x Combine like terms: 15x + 6x = 21x -10 + 21x = 14 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + 21x = 14 + 0 -10 + 21x = 14 Add '10' to each side of the equation. -10 + 10 + 21x = 14 + 10 Combine like terms: -10 + 10 = 0 0 + 21x = 14 + 10 21x = 14 + 10 Combine like terms: 14 + 10 = 24 21x = 24 Divide each side by '21'. x = 1.142857143 Simplifying x = 1.142857143
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