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Simplifying 15 + -4(x + 8) = 7(1 + -1x) + -33 Reorder the terms: 15 + -4(8 + x) = 7(1 + -1x) + -33 15 + (8 * -4 + x * -4) = 7(1 + -1x) + -33 15 + (-32 + -4x) = 7(1 + -1x) + -33 Combine like terms: 15 + -32 = -17 -17 + -4x = 7(1 + -1x) + -33 -17 + -4x = (1 * 7 + -1x * 7) + -33 -17 + -4x = (7 + -7x) + -33 Reorder the terms: -17 + -4x = 7 + -33 + -7x Combine like terms: 7 + -33 = -26 -17 + -4x = -26 + -7x Solving -17 + -4x = -26 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -17 + -4x + 7x = -26 + -7x + 7x Combine like terms: -4x + 7x = 3x -17 + 3x = -26 + -7x + 7x Combine like terms: -7x + 7x = 0 -17 + 3x = -26 + 0 -17 + 3x = -26 Add '17' to each side of the equation. -17 + 17 + 3x = -26 + 17 Combine like terms: -17 + 17 = 0 0 + 3x = -26 + 17 3x = -26 + 17 Combine like terms: -26 + 17 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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