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Simplifying 2(x + 3) + -5(2x + 1) = 0 Reorder the terms: 2(3 + x) + -5(2x + 1) = 0 (3 * 2 + x * 2) + -5(2x + 1) = 0 (6 + 2x) + -5(2x + 1) = 0 Reorder the terms: 6 + 2x + -5(1 + 2x) = 0 6 + 2x + (1 * -5 + 2x * -5) = 0 6 + 2x + (-5 + -10x) = 0 Reorder the terms: 6 + -5 + 2x + -10x = 0 Combine like terms: 6 + -5 = 1 1 + 2x + -10x = 0 Combine like terms: 2x + -10x = -8x 1 + -8x = 0 Solving 1 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -8x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = 0 + -1 -8x = 0 + -1 Combine like terms: 0 + -1 = -1 -8x = -1 Divide each side by '-8'. x = 0.125 Simplifying x = 0.125
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