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Simplifying 3(2x + 5) + -2(x + 1) = 0 Reorder the terms: 3(5 + 2x) + -2(x + 1) = 0 (5 * 3 + 2x * 3) + -2(x + 1) = 0 (15 + 6x) + -2(x + 1) = 0 Reorder the terms: 15 + 6x + -2(1 + x) = 0 15 + 6x + (1 * -2 + x * -2) = 0 15 + 6x + (-2 + -2x) = 0 Reorder the terms: 15 + -2 + 6x + -2x = 0 Combine like terms: 15 + -2 = 13 13 + 6x + -2x = 0 Combine like terms: 6x + -2x = 4x 13 + 4x = 0 Solving 13 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 4x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 4x = 0 + -13 4x = 0 + -13 Combine like terms: 0 + -13 = -13 4x = -13 Divide each side by '4'. x = -3.25 Simplifying x = -3.25
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