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Simplifying 8x + -33 = 5(x + -3) + 6x Reorder the terms: -33 + 8x = 5(x + -3) + 6x Reorder the terms: -33 + 8x = 5(-3 + x) + 6x -33 + 8x = (-3 * 5 + x * 5) + 6x -33 + 8x = (-15 + 5x) + 6x Combine like terms: 5x + 6x = 11x -33 + 8x = -15 + 11x Solving -33 + 8x = -15 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -33 + 8x + -11x = -15 + 11x + -11x Combine like terms: 8x + -11x = -3x -33 + -3x = -15 + 11x + -11x Combine like terms: 11x + -11x = 0 -33 + -3x = -15 + 0 -33 + -3x = -15 Add '33' to each side of the equation. -33 + 33 + -3x = -15 + 33 Combine like terms: -33 + 33 = 0 0 + -3x = -15 + 33 -3x = -15 + 33 Combine like terms: -15 + 33 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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