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Simplifying 7 + 3x = -4(7x + 6) Reorder the terms: 7 + 3x = -4(6 + 7x) 7 + 3x = (6 * -4 + 7x * -4) 7 + 3x = (-24 + -28x) Solving 7 + 3x = -24 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. 7 + 3x + 28x = -24 + -28x + 28x Combine like terms: 3x + 28x = 31x 7 + 31x = -24 + -28x + 28x Combine like terms: -28x + 28x = 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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