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Simplifying 6(x + -7) + -12x = 48 Reorder the terms: 6(-7 + x) + -12x = 48 (-7 * 6 + x * 6) + -12x = 48 (-42 + 6x) + -12x = 48 Combine like terms: 6x + -12x = -6x -42 + -6x = 48 Solving -42 + -6x = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -6x = 48 + 42 Combine like terms: -42 + 42 = 0 0 + -6x = 48 + 42 -6x = 48 + 42 Combine like terms: 48 + 42 = 90 -6x = 90 Divide each side by '-6'. x = -15 Simplifying x = -15
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