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Simplifying (2x + 5) * 2 + -1(x + -3) * 2 = 0 Reorder the terms: (5 + 2x) * 2 + -1(x + -3) * 2 = 0 Reorder the terms for easier multiplication: 2(5 + 2x) + -1(x + -3) * 2 = 0 (5 * 2 + 2x * 2) + -1(x + -3) * 2 = 0 (10 + 4x) + -1(x + -3) * 2 = 0 Reorder the terms: 10 + 4x + -1(-3 + x) * 2 = 0 Reorder the terms for easier multiplication: 10 + 4x + -1 * 2(-3 + x) = 0 Multiply -1 * 2 10 + 4x + -2(-3 + x) = 0 10 + 4x + (-3 * -2 + x * -2) = 0 10 + 4x + (6 + -2x) = 0 Reorder the terms: 10 + 6 + 4x + -2x = 0 Combine like terms: 10 + 6 = 16 16 + 4x + -2x = 0 Combine like terms: 4x + -2x = 2x 16 + 2x = 0 Solving 16 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 2x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 2x = 0 + -16 2x = 0 + -16 Combine like terms: 0 + -16 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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