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Simplifying 3(5x + -4) + -6(5x + -7) = 0 Reorder the terms: 3(-4 + 5x) + -6(5x + -7) = 0 (-4 * 3 + 5x * 3) + -6(5x + -7) = 0 (-12 + 15x) + -6(5x + -7) = 0 Reorder the terms: -12 + 15x + -6(-7 + 5x) = 0 -12 + 15x + (-7 * -6 + 5x * -6) = 0 -12 + 15x + (42 + -30x) = 0 Reorder the terms: -12 + 42 + 15x + -30x = 0 Combine like terms: -12 + 42 = 30 30 + 15x + -30x = 0 Combine like terms: 15x + -30x = -15x 30 + -15x = 0 Solving 30 + -15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -15x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -15x = 0 + -30 -15x = 0 + -30 Combine like terms: 0 + -30 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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