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Simplifying -76 = 6x + -4(3x + 7) Reorder the terms: -76 = 6x + -4(7 + 3x) -76 = 6x + (7 * -4 + 3x * -4) -76 = 6x + (-28 + -12x) Reorder the terms: -76 = -28 + 6x + -12x Combine like terms: 6x + -12x = -6x -76 = -28 + -6x Solving -76 = -28 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -76 + 6x = -28 + -6x + 6x Combine like terms: -6x + 6x = 0 -76 + 6x = -28 + 0 -76 + 6x = -28 Add '76' to each side of the equation. -76 + 76 + 6x = -28 + 76 Combine like terms: -76 + 76 = 0 0 + 6x = -28 + 76 6x = -28 + 76 Combine like terms: -28 + 76 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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