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Simplifying 8x + -33 = 2x + 3(1 + 5x) Reorder the terms: -33 + 8x = 2x + 3(1 + 5x) -33 + 8x = 2x + (1 * 3 + 5x * 3) -33 + 8x = 2x + (3 + 15x) Reorder the terms: -33 + 8x = 3 + 2x + 15x Combine like terms: 2x + 15x = 17x -33 + 8x = 3 + 17x Solving -33 + 8x = 3 + 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. -33 + 8x + -17x = 3 + 17x + -17x Combine like terms: 8x + -17x = -9x -33 + -9x = 3 + 17x + -17x Combine like terms: 17x + -17x = 0 -33 + -9x = 3 + 0 -33 + -9x = 3 Add '33' to each side of the equation. -33 + 33 + -9x = 3 + 33 Combine like terms: -33 + 33 = 0 0 + -9x = 3 + 33 -9x = 3 + 33 Combine like terms: 3 + 33 = 36 -9x = 36 Divide each side by '-9'. x = -4 Simplifying x = -4
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