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Simplifying 5(-1 + 3x) + -8(x + 7) = -12 (-1 * 5 + 3x * 5) + -8(x + 7) = -12 (-5 + 15x) + -8(x + 7) = -12 Reorder the terms: -5 + 15x + -8(7 + x) = -12 -5 + 15x + (7 * -8 + x * -8) = -12 -5 + 15x + (-56 + -8x) = -12 Reorder the terms: -5 + -56 + 15x + -8x = -12 Combine like terms: -5 + -56 = -61 -61 + 15x + -8x = -12 Combine like terms: 15x + -8x = 7x -61 + 7x = -12 Solving -61 + 7x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '61' to each side of the equation. -61 + 61 + 7x = -12 + 61 Combine like terms: -61 + 61 = 0 0 + 7x = -12 + 61 7x = -12 + 61 Combine like terms: -12 + 61 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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