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Simplifying 3(x + -14) + 1 = 4x + 5 Reorder the terms: 3(-14 + x) + 1 = 4x + 5 (-14 * 3 + x * 3) + 1 = 4x + 5 (-42 + 3x) + 1 = 4x + 5 Reorder the terms: -42 + 1 + 3x = 4x + 5 Combine like terms: -42 + 1 = -41 -41 + 3x = 4x + 5 Reorder the terms: -41 + 3x = 5 + 4x Solving -41 + 3x = 5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -41 + 3x + -4x = 5 + 4x + -4x Combine like terms: 3x + -4x = -1x -41 + -1x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -41 + -1x = 5 + 0 -41 + -1x = 5 Add '41' to each side of the equation. -41 + 41 + -1x = 5 + 41 Combine like terms: -41 + 41 = 0 0 + -1x = 5 + 41 -1x = 5 + 41 Combine like terms: 5 + 41 = 46 -1x = 46 Divide each side by '-1'. x = -46 Simplifying x = -46
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