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Simplifying 6x + 33 = 5(3x + -5) + 4 Reorder the terms: 33 + 6x = 5(3x + -5) + 4 Reorder the terms: 33 + 6x = 5(-5 + 3x) + 4 33 + 6x = (-5 * 5 + 3x * 5) + 4 33 + 6x = (-25 + 15x) + 4 Reorder the terms: 33 + 6x = -25 + 4 + 15x Combine like terms: -25 + 4 = -21 33 + 6x = -21 + 15x Solving 33 + 6x = -21 + 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 = -21 + 15x + -15x Combine like terms: 6x + -15x = -9x 33 + -9x = -21 + 15x + -15x Combine like terms: 15x + -15x = 0 33 + -9x = -21 + 0 33 + -9x = -21 Add '-33' to each side of the equation. 33 + -33 + -9x = -21 + -33 Combine like terms: 33 + -33 = 0 0 + -9x = -21 + -33 -9x = -21 + -33 Combine like terms: -21 + -33 = -54 -9x = -54 Divide each side by '-9'. x = 6 Simplifying x = 6
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