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Simplifying 8(3x + 7) = 7(4x + -6) Reorder the terms: 8(7 + 3x) = 7(4x + -6) (7 * 8 + 3x * 8) = 7(4x + -6) (56 + 24x) = 7(4x + -6) Reorder the terms: 56 + 24x = 7(-6 + 4x) 56 + 24x = (-6 * 7 + 4x * 7) 56 + 24x = (-42 + 28x) Solving 56 + 24x = -42 + 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. 56 + 24x + -28x = -42 + 28x + -28x Combine like terms: 24x + -28x = -4x 56 + -4x = -42 + 28x + -28x Combine like terms: 28x + -28x = 0 56 + -4x = -42 + 0 56 + -4x = -42 Add '-56' to each side of the equation. 56 + -56 + -4x = -42 + -56 Combine like terms: 56 + -56 = 0 0 + -4x = -42 + -56 -4x = -42 + -56 Combine like terms: -42 + -56 = -98 -4x = -98 Divide each side by '-4'. x = 24.5 Simplifying x = 24.5
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