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Simplifying 84 = 7(x + 8) + -3x Reorder the terms: 84 = 7(8 + x) + -3x 84 = (8 * 7 + x * 7) + -3x 84 = (56 + 7x) + -3x Combine like terms: 7x + -3x = 4x 84 = 56 + 4x Solving 84 = 56 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 84 + -4x = 56 + 4x + -4x Combine like terms: 4x + -4x = 0 84 + -4x = 56 + 0 84 + -4x = 56 Add '-84' to each side of the equation. 84 + -84 + -4x = 56 + -84 Combine like terms: 84 + -84 = 0 0 + -4x = 56 + -84 -4x = 56 + -84 Combine like terms: 56 + -84 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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