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Simplifying 3x + 7 = 79 + -4(2x + 7) Reorder the terms: 7 + 3x = 79 + -4(2x + 7) Reorder the terms: 7 + 3x = 79 + -4(7 + 2x) 7 + 3x = 79 + (7 * -4 + 2x * -4) 7 + 3x = 79 + (-28 + -8x) Combine like terms: 79 + -28 = 51 7 + 3x = 51 + -8x Solving 7 + 3x = 51 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 7 + 3x + 8x = 51 + -8x + 8x Combine like terms: 3x + 8x = 11x 7 + 11x = 51 + -8x + 8x Combine like terms: -8x + 8x = 0 7 + 11x = 51 + 0 7 + 11x = 51 Add '-7' to each side of the equation. 7 + -7 + 11x = 51 + -7 Combine like terms: 7 + -7 = 0 0 + 11x = 51 + -7 11x = 51 + -7 Combine like terms: 51 + -7 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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