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Simplifying 3(x + -14) + 1 = -4x + 15 Reorder the terms: 3(-14 + x) + 1 = -4x + 15 (-14 * 3 + x * 3) + 1 = -4x + 15 (-42 + 3x) + 1 = -4x + 15 Reorder the terms: -42 + 1 + 3x = -4x + 15 Combine like terms: -42 + 1 = -41 -41 + 3x = -4x + 15 Reorder the terms: -41 + 3x = 15 + -4x Solving -41 + 3x = 15 + -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 = 15 + -4x + 4x Combine like terms: 3x + 4x = 7x -41 + 7x = 15 + -4x + 4x Combine like terms: -4x + 4x = 0 -41 + 7x = 15 + 0 -41 + 7x = 15 Add '41' to each side of the equation. -41 + 41 + 7x = 15 + 41 Combine like terms: -41 + 41 = 0 0 + 7x = 15 + 41 7x = 15 + 41 Combine like terms: 15 + 41 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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