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Simplifying 3(5 + -4x) + -2(3x + -7) = 0 (5 * 3 + -4x * 3) + -2(3x + -7) = 0 (15 + -12x) + -2(3x + -7) = 0 Reorder the terms: 15 + -12x + -2(-7 + 3x) = 0 15 + -12x + (-7 * -2 + 3x * -2) = 0 15 + -12x + (14 + -6x) = 0 Reorder the terms: 15 + 14 + -12x + -6x = 0 Combine like terms: 15 + 14 = 29 29 + -12x + -6x = 0 Combine like terms: -12x + -6x = -18x 29 + -18x = 0 Solving 29 + -18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -18x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -18x = 0 + -29 -18x = 0 + -29 Combine like terms: 0 + -29 = -29 -18x = -29 Divide each side by '-18'. x = 1.611111111 Simplifying x = 1.611111111
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