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Simplifying 6x + 33 = 3(-1 + 5x) Reorder the terms: 33 + 6x = 3(-1 + 5x) 33 + 6x = (-1 * 3 + 5x * 3) 33 + 6x = (-3 + 15x) Solving 33 + 6x = -3 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 33 + 6x + -15x = -3 + 15x + -15x Combine like terms: 6x + -15x = -9x 33 + -9x = -3 + 15x + -15x Combine like terms: 15x + -15x = 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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