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Simplifying 5(3x + 7) + -4(8x + -3) = 0 Reorder the terms: 5(7 + 3x) + -4(8x + -3) = 0 (7 * 5 + 3x * 5) + -4(8x + -3) = 0 (35 + 15x) + -4(8x + -3) = 0 Reorder the terms: 35 + 15x + -4(-3 + 8x) = 0 35 + 15x + (-3 * -4 + 8x * -4) = 0 35 + 15x + (12 + -32x) = 0 Reorder the terms: 35 + 12 + 15x + -32x = 0 Combine like terms: 35 + 12 = 47 47 + 15x + -32x = 0 Combine like terms: 15x + -32x = -17x 47 + -17x = 0 Solving 47 + -17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + -17x = 0 + -47 Combine like terms: 47 + -47 = 0 0 + -17x = 0 + -47 -17x = 0 + -47 Combine like terms: 0 + -47 = -47 -17x = -47 Divide each side by '-17'. x = 2.764705882 Simplifying x = 2.764705882
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