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Simplifying -25 + 6x + -12x + 5(3x + 8) + -7 = 71 Reorder the terms: -25 + 6x + -12x + 5(8 + 3x) + -7 = 71 -25 + 6x + -12x + (8 * 5 + 3x * 5) + -7 = 71 -25 + 6x + -12x + (40 + 15x) + -7 = 71 Reorder the terms: -25 + 40 + -7 + 6x + -12x + 15x = 71 Combine like terms: -25 + 40 = 15 15 + -7 + 6x + -12x + 15x = 71 Combine like terms: 15 + -7 = 8 8 + 6x + -12x + 15x = 71 Combine like terms: 6x + -12x = -6x 8 + -6x + 15x = 71 Combine like terms: -6x + 15x = 9x 8 + 9x = 71 Solving 8 + 9x = 71 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 9x = 71 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = 71 + -8 9x = 71 + -8 Combine like terms: 71 + -8 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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