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Simplifying 4(2x + 5) + -11x = 3x + -4 Reorder the terms: 4(5 + 2x) + -11x = 3x + -4 (5 * 4 + 2x * 4) + -11x = 3x + -4 (20 + 8x) + -11x = 3x + -4 Combine like terms: 8x + -11x = -3x 20 + -3x = 3x + -4 Reorder the terms: 20 + -3x = -4 + 3x Solving 20 + -3x = -4 + 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. 20 + -3x + -3x = -4 + 3x + -3x Combine like terms: -3x + -3x = -6x 20 + -6x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + -6x = -4 + 0 20 + -6x = -4 Add '-20' to each side of the equation. 20 + -20 + -6x = -4 + -20 Combine like terms: 20 + -20 = 0 0 + -6x = -4 + -20 -6x = -4 + -20 Combine like terms: -4 + -20 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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