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Simplifying 3(x + 2) = 2(5x + -11) Reorder the terms: 3(2 + x) = 2(5x + -11) (2 * 3 + x * 3) = 2(5x + -11) (6 + 3x) = 2(5x + -11) Reorder the terms: 6 + 3x = 2(-11 + 5x) 6 + 3x = (-11 * 2 + 5x * 2) 6 + 3x = (-22 + 10x) Solving 6 + 3x = -22 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6 + 3x + -10x = -22 + 10x + -10x Combine like terms: 3x + -10x = -7x 6 + -7x = -22 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + -7x = -22 + 0 6 + -7x = -22 Add '-6' to each side of the equation. 6 + -6 + -7x = -22 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = -22 + -6 -7x = -22 + -6 Combine like terms: -22 + -6 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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