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Simplifying 5(3 + -2x) + -2(4x + 6) = 0 (3 * 5 + -2x * 5) + -2(4x + 6) = 0 (15 + -10x) + -2(4x + 6) = 0 Reorder the terms: 15 + -10x + -2(6 + 4x) = 0 15 + -10x + (6 * -2 + 4x * -2) = 0 15 + -10x + (-12 + -8x) = 0 Reorder the terms: 15 + -12 + -10x + -8x = 0 Combine like terms: 15 + -12 = 3 3 + -10x + -8x = 0 Combine like terms: -10x + -8x = -18x 3 + -18x = 0 Solving 3 + -18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -18x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -18x = 0 + -3 -18x = 0 + -3 Combine like terms: 0 + -3 = -3 -18x = -3 Divide each side by '-18'. x = 0.1666666667 Simplifying x = 0.1666666667
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