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Simplifying 5(3x + 2) = 6 + -2(x + -2) Reorder the terms: 5(2 + 3x) = 6 + -2(x + -2) (2 * 5 + 3x * 5) = 6 + -2(x + -2) (10 + 15x) = 6 + -2(x + -2) Reorder the terms: 10 + 15x = 6 + -2(-2 + x) 10 + 15x = 6 + (-2 * -2 + x * -2) 10 + 15x = 6 + (4 + -2x) Combine like terms: 6 + 4 = 10 10 + 15x = 10 + -2x Add '-10' to each side of the equation. 10 + -10 + 15x = 10 + -10 + -2x Combine like terms: 10 + -10 = 0 0 + 15x = 10 + -10 + -2x 15x = 10 + -10 + -2x Combine like terms: 10 + -10 = 0 15x = 0 + -2x 15x = -2x Solving 15x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 15x + 2x = -2x + 2x Combine like terms: 15x + 2x = 17x 17x = -2x + 2x Combine like terms: -2x + 2x = 0 17x = 0 Divide each side by '17'. x = 0 Simplifying x = 0
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