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Simplifying 5(3x + 2) = -2(x + -3) Reorder the terms: 5(2 + 3x) = -2(x + -3) (2 * 5 + 3x * 5) = -2(x + -3) (10 + 15x) = -2(x + -3) Reorder the terms: 10 + 15x = -2(-3 + x) 10 + 15x = (-3 * -2 + x * -2) 10 + 15x = (6 + -2x) Solving 10 + 15x = 6 + -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. 10 + 15x + 2x = 6 + -2x + 2x Combine like terms: 15x + 2x = 17x 10 + 17x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 17x = 6 + 0 10 + 17x = 6 Add '-10' to each side of the equation. 10 + -10 + 17x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 17x = 6 + -10 17x = 6 + -10 Combine like terms: 6 + -10 = -4 17x = -4 Divide each side by '17'. x = -0.2352941176 Simplifying x = -0.2352941176
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