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Simplifying -4x + -17 = 4(x + 4) + -7x Reorder the terms: -17 + -4x = 4(x + 4) + -7x Reorder the terms: -17 + -4x = 4(4 + x) + -7x -17 + -4x = (4 * 4 + x * 4) + -7x -17 + -4x = (16 + 4x) + -7x Combine like terms: 4x + -7x = -3x -17 + -4x = 16 + -3x Solving -17 + -4x = 16 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -17 + -4x + 3x = 16 + -3x + 3x Combine like terms: -4x + 3x = -1x -17 + -1x = 16 + -3x + 3x Combine like terms: -3x + 3x = 0 -17 + -1x = 16 + 0 -17 + -1x = 16 Add '17' to each side of the equation. -17 + 17 + -1x = 16 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = 16 + 17 -1x = 16 + 17 Combine like terms: 16 + 17 = 33 -1x = 33 Divide each side by '-1'. x = -33 Simplifying x = -33
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