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Simplifying -6(x + 7) = 4(x + 12) Reorder the terms: -6(7 + x) = 4(x + 12) (7 * -6 + x * -6) = 4(x + 12) (-42 + -6x) = 4(x + 12) Reorder the terms: -42 + -6x = 4(12 + x) -42 + -6x = (12 * 4 + x * 4) -42 + -6x = (48 + 4x) Solving -42 + -6x = 48 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -42 + -6x + -4x = 48 + 4x + -4x Combine like terms: -6x + -4x = -10x -42 + -10x = 48 + 4x + -4x Combine like terms: 4x + -4x = 0 -42 + -10x = 48 + 0 -42 + -10x = 48 Add '42' to each side of the equation. -42 + 42 + -10x = 48 + 42 Combine like terms: -42 + 42 = 0 0 + -10x = 48 + 42 -10x = 48 + 42 Combine like terms: 48 + 42 = 90 -10x = 90 Divide each side by '-10'. x = -9 Simplifying x = -9
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