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Simplifying 3(1 + -3x) + 2x = -2(2x + 5) (1 * 3 + -3x * 3) + 2x = -2(2x + 5) (3 + -9x) + 2x = -2(2x + 5) Combine like terms: -9x + 2x = -7x 3 + -7x = -2(2x + 5) Reorder the terms: 3 + -7x = -2(5 + 2x) 3 + -7x = (5 * -2 + 2x * -2) 3 + -7x = (-10 + -4x) Solving 3 + -7x = -10 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 3 + -7x + 4x = -10 + -4x + 4x Combine like terms: -7x + 4x = -3x 3 + -3x = -10 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + -3x = -10 + 0 3 + -3x = -10 Add '-3' to each side of the equation. 3 + -3 + -3x = -10 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = -10 + -3 -3x = -10 + -3 Combine like terms: -10 + -3 = -13 -3x = -13 Divide each side by '-3'. x = 4.333333333 Simplifying x = 4.333333333
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