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Simplifying 7(x + 10) = 3x + 78 Reorder the terms: 7(10 + x) = 3x + 78 (10 * 7 + x * 7) = 3x + 78 (70 + 7x) = 3x + 78 Reorder the terms: 70 + 7x = 78 + 3x Solving 70 + 7x = 78 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 70 + 7x + -3x = 78 + 3x + -3x Combine like terms: 7x + -3x = 4x 70 + 4x = 78 + 3x + -3x Combine like terms: 3x + -3x = 0 70 + 4x = 78 + 0 70 + 4x = 78 Add '-70' to each side of the equation. 70 + -70 + 4x = 78 + -70 Combine like terms: 70 + -70 = 0 0 + 4x = 78 + -70 4x = 78 + -70 Combine like terms: 78 + -70 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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