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Simplifying 4(x + 7) = -24(x + 4) Reorder the terms: 4(7 + x) = -24(x + 4) (7 * 4 + x * 4) = -24(x + 4) (28 + 4x) = -24(x + 4) Reorder the terms: 28 + 4x = -24(4 + x) 28 + 4x = (4 * -24 + x * -24) 28 + 4x = (-96 + -24x) Solving 28 + 4x = -96 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 28 + 4x + 24x = -96 + -24x + 24x Combine like terms: 4x + 24x = 28x 28 + 28x = -96 + -24x + 24x Combine like terms: -24x + 24x = 0 28 + 28x = -96 + 0 28 + 28x = -96 Add '-28' to each side of the equation. 28 + -28 + 28x = -96 + -28 Combine like terms: 28 + -28 = 0 0 + 28x = -96 + -28 28x = -96 + -28 Combine like terms: -96 + -28 = -124 28x = -124 Divide each side by '28'. x = -4.428571429 Simplifying x = -4.428571429
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