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Simplifying 3(5x + -4) + 33 = 11x + -3 Reorder the terms: 3(-4 + 5x) + 33 = 11x + -3 (-4 * 3 + 5x * 3) + 33 = 11x + -3 (-12 + 15x) + 33 = 11x + -3 Reorder the terms: -12 + 33 + 15x = 11x + -3 Combine like terms: -12 + 33 = 21 21 + 15x = 11x + -3 Reorder the terms: 21 + 15x = -3 + 11x Solving 21 + 15x = -3 + 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. 21 + 15x + -11x = -3 + 11x + -11x Combine like terms: 15x + -11x = 4x 21 + 4x = -3 + 11x + -11x Combine like terms: 11x + -11x = 0 21 + 4x = -3 + 0 21 + 4x = -3 Add '-21' to each side of the equation. 21 + -21 + 4x = -3 + -21 Combine like terms: 21 + -21 = 0 0 + 4x = -3 + -21 4x = -3 + -21 Combine like terms: -3 + -21 = -24 4x = -24 Divide each side by '4'. x = -6 Simplifying x = -6
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