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Simplifying 12(2x + 5) + -3(-2x + 4) = 0 Reorder the terms: 12(5 + 2x) + -3(-2x + 4) = 0 (5 * 12 + 2x * 12) + -3(-2x + 4) = 0 (60 + 24x) + -3(-2x + 4) = 0 Reorder the terms: 60 + 24x + -3(4 + -2x) = 0 60 + 24x + (4 * -3 + -2x * -3) = 0 60 + 24x + (-12 + 6x) = 0 Reorder the terms: 60 + -12 + 24x + 6x = 0 Combine like terms: 60 + -12 = 48 48 + 24x + 6x = 0 Combine like terms: 24x + 6x = 30x 48 + 30x = 0 Solving 48 + 30x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 30x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 30x = 0 + -48 30x = 0 + -48 Combine like terms: 0 + -48 = -48 30x = -48 Divide each side by '30'. x = -1.6 Simplifying x = -1.6
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