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Simplifying 234 = 4x + 7(-4x + 6) Reorder the terms: 234 = 4x + 7(6 + -4x) 234 = 4x + (6 * 7 + -4x * 7) 234 = 4x + (42 + -28x) Reorder the terms: 234 = 42 + 4x + -28x Combine like terms: 4x + -28x = -24x 234 = 42 + -24x Solving 234 = 42 + -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. 234 + 24x = 42 + -24x + 24x Combine like terms: -24x + 24x = 0 234 + 24x = 42 + 0 234 + 24x = 42 Add '-234' to each side of the equation. 234 + -234 + 24x = 42 + -234 Combine like terms: 234 + -234 = 0 0 + 24x = 42 + -234 24x = 42 + -234 Combine like terms: 42 + -234 = -192 24x = -192 Divide each side by '24'. x = -8 Simplifying x = -8
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