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Simplifying 3(x + -5) = 7x + 1 Reorder the terms: 3(-5 + x) = 7x + 1 (-5 * 3 + x * 3) = 7x + 1 (-15 + 3x) = 7x + 1 Reorder the terms: -15 + 3x = 1 + 7x Solving -15 + 3x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -15 + 3x + -7x = 1 + 7x + -7x Combine like terms: 3x + -7x = -4x -15 + -4x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + -4x = 1 + 0 -15 + -4x = 1 Add '15' to each side of the equation. -15 + 15 + -4x = 1 + 15 Combine like terms: -15 + 15 = 0 0 + -4x = 1 + 15 -4x = 1 + 15 Combine like terms: 1 + 15 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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