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Simplifying 4(2x + 11) = 3(x + -2) Reorder the terms: 4(11 + 2x) = 3(x + -2) (11 * 4 + 2x * 4) = 3(x + -2) (44 + 8x) = 3(x + -2) Reorder the terms: 44 + 8x = 3(-2 + x) 44 + 8x = (-2 * 3 + x * 3) 44 + 8x = (-6 + 3x) Solving 44 + 8x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 44 + 8x + -3x = -6 + 3x + -3x Combine like terms: 8x + -3x = 5x 44 + 5x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 44 + 5x = -6 + 0 44 + 5x = -6 Add '-44' to each side of the equation. 44 + -44 + 5x = -6 + -44 Combine like terms: 44 + -44 = 0 0 + 5x = -6 + -44 5x = -6 + -44 Combine like terms: -6 + -44 = -50 5x = -50 Divide each side by '5'. x = -10 Simplifying x = -10
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