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Simplifying 3(x + -5) + 4 = x + 1 Reorder the terms: 3(-5 + x) + 4 = x + 1 (-5 * 3 + x * 3) + 4 = x + 1 (-15 + 3x) + 4 = x + 1 Reorder the terms: -15 + 4 + 3x = x + 1 Combine like terms: -15 + 4 = -11 -11 + 3x = x + 1 Reorder the terms: -11 + 3x = 1 + x Solving -11 + 3x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -11 + 3x + -1x = 1 + x + -1x Combine like terms: 3x + -1x = 2x -11 + 2x = 1 + x + -1x Combine like terms: x + -1x = 0 -11 + 2x = 1 + 0 -11 + 2x = 1 Add '11' to each side of the equation. -11 + 11 + 2x = 1 + 11 Combine like terms: -11 + 11 = 0 0 + 2x = 1 + 11 2x = 1 + 11 Combine like terms: 1 + 11 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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