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Simplifying 4x + 34 = -7(4x + 4) + x Reorder the terms: 34 + 4x = -7(4x + 4) + x Reorder the terms: 34 + 4x = -7(4 + 4x) + x 34 + 4x = (4 * -7 + 4x * -7) + x 34 + 4x = (-28 + -28x) + x Combine like terms: -28x + x = -27x 34 + 4x = -28 + -27x Solving 34 + 4x = -28 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. 34 + 4x + 27x = -28 + -27x + 27x Combine like terms: 4x + 27x = 31x 34 + 31x = -28 + -27x + 27x Combine like terms: -27x + 27x = 0 34 + 31x = -28 + 0 34 + 31x = -28 Add '-34' to each side of the equation. 34 + -34 + 31x = -28 + -34 Combine like terms: 34 + -34 = 0 0 + 31x = -28 + -34 31x = -28 + -34 Combine like terms: -28 + -34 = -62 31x = -62 Divide each side by '31'. x = -2 Simplifying x = -2
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