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Simplifying 8x + 3(2x + 5) = 12x + -7 Reorder the terms: 8x + 3(5 + 2x) = 12x + -7 8x + (5 * 3 + 2x * 3) = 12x + -7 8x + (15 + 6x) = 12x + -7 Reorder the terms: 15 + 8x + 6x = 12x + -7 Combine like terms: 8x + 6x = 14x 15 + 14x = 12x + -7 Reorder the terms: 15 + 14x = -7 + 12x Solving 15 + 14x = -7 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 15 + 14x + -12x = -7 + 12x + -12x Combine like terms: 14x + -12x = 2x 15 + 2x = -7 + 12x + -12x Combine like terms: 12x + -12x = 0 15 + 2x = -7 + 0 15 + 2x = -7 Add '-15' to each side of the equation. 15 + -15 + 2x = -7 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = -7 + -15 2x = -7 + -15 Combine like terms: -7 + -15 = -22 2x = -22 Divide each side by '2'. x = -11 Simplifying x = -11
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