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Simplifying 5(x + 7) + -8x + 12 = 0 Reorder the terms: 5(7 + x) + -8x + 12 = 0 (7 * 5 + x * 5) + -8x + 12 = 0 (35 + 5x) + -8x + 12 = 0 Reorder the terms: 35 + 12 + 5x + -8x = 0 Combine like terms: 35 + 12 = 47 47 + 5x + -8x = 0 Combine like terms: 5x + -8x = -3x 47 + -3x = 0 Solving 47 + -3x = 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 + -3x = 0 + -47 Combine like terms: 47 + -47 = 0 0 + -3x = 0 + -47 -3x = 0 + -47 Combine like terms: 0 + -47 = -47 -3x = -47 Divide each side by '-3'. x = 15.66666667 Simplifying x = 15.66666667
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