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Simplifying 6(x + -7) = 12(x + 4) Reorder the terms: 6(-7 + x) = 12(x + 4) (-7 * 6 + x * 6) = 12(x + 4) (-42 + 6x) = 12(x + 4) Reorder the terms: -42 + 6x = 12(4 + x) -42 + 6x = (4 * 12 + x * 12) -42 + 6x = (48 + 12x) Solving -42 + 6x = 48 + 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. -42 + 6x + -12x = 48 + 12x + -12x Combine like terms: 6x + -12x = -6x -42 + -6x = 48 + 12x + -12x Combine like terms: 12x + -12x = 0 -42 + -6x = 48 + 0 -42 + -6x = 48 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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