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Simplifying 4(2x + 7) + -3(5x + 6) = 0 Reorder the terms: 4(7 + 2x) + -3(5x + 6) = 0 (7 * 4 + 2x * 4) + -3(5x + 6) = 0 (28 + 8x) + -3(5x + 6) = 0 Reorder the terms: 28 + 8x + -3(6 + 5x) = 0 28 + 8x + (6 * -3 + 5x * -3) = 0 28 + 8x + (-18 + -15x) = 0 Reorder the terms: 28 + -18 + 8x + -15x = 0 Combine like terms: 28 + -18 = 10 10 + 8x + -15x = 0 Combine like terms: 8x + -15x = -7x 10 + -7x = 0 Solving 10 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -7x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = 0 + -10 -7x = 0 + -10 Combine like terms: 0 + -10 = -10 -7x = -10 Divide each side by '-7'. x = 1.428571429 Simplifying x = 1.428571429
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