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Simplifying 7(8 + -4x) = 54 + -6(4x + 1) (8 * 7 + -4x * 7) = 54 + -6(4x + 1) (56 + -28x) = 54 + -6(4x + 1) Reorder the terms: 56 + -28x = 54 + -6(1 + 4x) 56 + -28x = 54 + (1 * -6 + 4x * -6) 56 + -28x = 54 + (-6 + -24x) Combine like terms: 54 + -6 = 48 56 + -28x = 48 + -24x Solving 56 + -28x = 48 + -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. 56 + -28x + 24x = 48 + -24x + 24x Combine like terms: -28x + 24x = -4x 56 + -4x = 48 + -24x + 24x Combine like terms: -24x + 24x = 0 56 + -4x = 48 + 0 56 + -4x = 48 Add '-56' to each side of the equation. 56 + -56 + -4x = 48 + -56 Combine like terms: 56 + -56 = 0 0 + -4x = 48 + -56 -4x = 48 + -56 Combine like terms: 48 + -56 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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