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Simplifying 4x + 7 = -4(7x + 6) + x Reorder the terms: 7 + 4x = -4(7x + 6) + x Reorder the terms: 7 + 4x = -4(6 + 7x) + x 7 + 4x = (6 * -4 + 7x * -4) + x 7 + 4x = (-24 + -28x) + x Combine like terms: -28x + x = -27x 7 + 4x = -24 + -27x Solving 7 + 4x = -24 + -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. 7 + 4x + 27x = -24 + -27x + 27x Combine like terms: 4x + 27x = 31x 7 + 31x = -24 + -27x + 27x Combine like terms: -27x + 27x = 0 7 + 31x = -24 + 0 7 + 31x = -24 Add '-7' to each side of the equation. 7 + -7 + 31x = -24 + -7 Combine like terms: 7 + -7 = 0 0 + 31x = -24 + -7 31x = -24 + -7 Combine like terms: -24 + -7 = -31 31x = -31 Divide each side by '31'. x = -1 Simplifying x = -1
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