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Simplifying -5x + 12 + -7x = -3(5x + 8) Reorder the terms: 12 + -5x + -7x = -3(5x + 8) Combine like terms: -5x + -7x = -12x 12 + -12x = -3(5x + 8) Reorder the terms: 12 + -12x = -3(8 + 5x) 12 + -12x = (8 * -3 + 5x * -3) 12 + -12x = (-24 + -15x) Solving 12 + -12x = -24 + -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. 12 + -12x + 15x = -24 + -15x + 15x Combine like terms: -12x + 15x = 3x 12 + 3x = -24 + -15x + 15x Combine like terms: -15x + 15x = 0 12 + 3x = -24 + 0 12 + 3x = -24 Add '-12' to each side of the equation. 12 + -12 + 3x = -24 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = -24 + -12 3x = -24 + -12 Combine like terms: -24 + -12 = -36 3x = -36 Divide each side by '3'. x = -12 Simplifying x = -12
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