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Simplifying 15x + -1(3x + 33) = 4x + -297 Reorder the terms: 15x + -1(33 + 3x) = 4x + -297 15x + (33 * -1 + 3x * -1) = 4x + -297 15x + (-33 + -3x) = 4x + -297 Reorder the terms: -33 + 15x + -3x = 4x + -297 Combine like terms: 15x + -3x = 12x -33 + 12x = 4x + -297 Reorder the terms: -33 + 12x = -297 + 4x Solving -33 + 12x = -297 + 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. -33 + 12x + -4x = -297 + 4x + -4x Combine like terms: 12x + -4x = 8x -33 + 8x = -297 + 4x + -4x Combine like terms: 4x + -4x = 0 -33 + 8x = -297 + 0 -33 + 8x = -297 Add '33' to each side of the equation. -33 + 33 + 8x = -297 + 33 Combine like terms: -33 + 33 = 0 0 + 8x = -297 + 33 8x = -297 + 33 Combine like terms: -297 + 33 = -264 8x = -264 Divide each side by '8'. x = -33 Simplifying x = -33
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