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Simplifying 5(3x + 2) = 2(2x + -6) Reorder the terms: 5(2 + 3x) = 2(2x + -6) (2 * 5 + 3x * 5) = 2(2x + -6) (10 + 15x) = 2(2x + -6) Reorder the terms: 10 + 15x = 2(-6 + 2x) 10 + 15x = (-6 * 2 + 2x * 2) 10 + 15x = (-12 + 4x) Solving 10 + 15x = -12 + 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. 10 + 15x + -4x = -12 + 4x + -4x Combine like terms: 15x + -4x = 11x 10 + 11x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + 11x = -12 + 0 10 + 11x = -12 Add '-10' to each side of the equation. 10 + -10 + 11x = -12 + -10 Combine like terms: 10 + -10 = 0 0 + 11x = -12 + -10 11x = -12 + -10 Combine like terms: -12 + -10 = -22 11x = -22 Divide each side by '11'. x = -2 Simplifying x = -2
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