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Simplifying 6(8 + -2x) + 25 = 5(2 + -3x) (8 * 6 + -2x * 6) + 25 = 5(2 + -3x) (48 + -12x) + 25 = 5(2 + -3x) Reorder the terms: 48 + 25 + -12x = 5(2 + -3x) Combine like terms: 48 + 25 = 73 73 + -12x = 5(2 + -3x) 73 + -12x = (2 * 5 + -3x * 5) 73 + -12x = (10 + -15x) Solving 73 + -12x = 10 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 73 + -12x + 15x = 10 + -15x + 15x Combine like terms: -12x + 15x = 3x 73 + 3x = 10 + -15x + 15x Combine like terms: -15x + 15x = 0 73 + 3x = 10 + 0 73 + 3x = 10 Add '-73' to each side of the equation. 73 + -73 + 3x = 10 + -73 Combine like terms: 73 + -73 = 0 0 + 3x = 10 + -73 3x = 10 + -73 Combine like terms: 10 + -73 = -63 3x = -63 Divide each side by '3'. x = -21 Simplifying x = -21
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