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Simplifying 3x + 3(4x + -5) = 17x + -1 Reorder the terms: 3x + 3(-5 + 4x) = 17x + -1 3x + (-5 * 3 + 4x * 3) = 17x + -1 3x + (-15 + 12x) = 17x + -1 Reorder the terms: -15 + 3x + 12x = 17x + -1 Combine like terms: 3x + 12x = 15x -15 + 15x = 17x + -1 Reorder the terms: -15 + 15x = -1 + 17x Solving -15 + 15x = -1 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -15 + 15x + -17x = -1 + 17x + -17x Combine like terms: 15x + -17x = -2x -15 + -2x = -1 + 17x + -17x Combine like terms: 17x + -17x = 0 -15 + -2x = -1 + 0 -15 + -2x = -1 Add '15' to each side of the equation. -15 + 15 + -2x = -1 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = -1 + 15 -2x = -1 + 15 Combine like terms: -1 + 15 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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