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Simplifying (x + -5)(4) + 7 = 35 Reorder the terms: (-5 + x)(4) + 7 = 35 Reorder the terms for easier multiplication: 4(-5 + x) + 7 = 35 (-5 * 4 + x * 4) + 7 = 35 (-20 + 4x) + 7 = 35 Reorder the terms: -20 + 7 + 4x = 35 Combine like terms: -20 + 7 = -13 -13 + 4x = 35 Solving -13 + 4x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 4x = 35 + 13 Combine like terms: -13 + 13 = 0 0 + 4x = 35 + 13 4x = 35 + 13 Combine like terms: 35 + 13 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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