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Simplifying 6(9x + -7) + 4(3 + x) = 86 Reorder the terms: 6(-7 + 9x) + 4(3 + x) = 86 (-7 * 6 + 9x * 6) + 4(3 + x) = 86 (-42 + 54x) + 4(3 + x) = 86 -42 + 54x + (3 * 4 + x * 4) = 86 -42 + 54x + (12 + 4x) = 86 Reorder the terms: -42 + 12 + 54x + 4x = 86 Combine like terms: -42 + 12 = -30 -30 + 54x + 4x = 86 Combine like terms: 54x + 4x = 58x -30 + 58x = 86 Solving -30 + 58x = 86 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 58x = 86 + 30 Combine like terms: -30 + 30 = 0 0 + 58x = 86 + 30 58x = 86 + 30 Combine like terms: 86 + 30 = 116 58x = 116 Divide each side by '58'. x = 2 Simplifying x = 2
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