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Simplifying 5(3x + -33) = 4(x + 11) Reorder the terms: 5(-33 + 3x) = 4(x + 11) (-33 * 5 + 3x * 5) = 4(x + 11) (-165 + 15x) = 4(x + 11) Reorder the terms: -165 + 15x = 4(11 + x) -165 + 15x = (11 * 4 + x * 4) -165 + 15x = (44 + 4x) Solving -165 + 15x = 44 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -165 + 15x + -4x = 44 + 4x + -4x Combine like terms: 15x + -4x = 11x -165 + 11x = 44 + 4x + -4x Combine like terms: 4x + -4x = 0 -165 + 11x = 44 + 0 -165 + 11x = 44 Add '165' to each side of the equation. -165 + 165 + 11x = 44 + 165 Combine like terms: -165 + 165 = 0 0 + 11x = 44 + 165 11x = 44 + 165 Combine like terms: 44 + 165 = 209 11x = 209 Divide each side by '11'. x = 19 Simplifying x = 19
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