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Simplifying 5(2x + 6) + -7(3x + -4) = 0 Reorder the terms: 5(6 + 2x) + -7(3x + -4) = 0 (6 * 5 + 2x * 5) + -7(3x + -4) = 0 (30 + 10x) + -7(3x + -4) = 0 Reorder the terms: 30 + 10x + -7(-4 + 3x) = 0 30 + 10x + (-4 * -7 + 3x * -7) = 0 30 + 10x + (28 + -21x) = 0 Reorder the terms: 30 + 28 + 10x + -21x = 0 Combine like terms: 30 + 28 = 58 58 + 10x + -21x = 0 Combine like terms: 10x + -21x = -11x 58 + -11x = 0 Solving 58 + -11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-58' to each side of the equation. 58 + -58 + -11x = 0 + -58 Combine like terms: 58 + -58 = 0 0 + -11x = 0 + -58 -11x = 0 + -58 Combine like terms: 0 + -58 = -58 -11x = -58 Divide each side by '-11'. x = 5.272727273 Simplifying x = 5.272727273
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