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Simplifying 2(5x + 4) + 3(2x + 11) = 4x + -19 Reorder the terms: 2(4 + 5x) + 3(2x + 11) = 4x + -19 (4 * 2 + 5x * 2) + 3(2x + 11) = 4x + -19 (8 + 10x) + 3(2x + 11) = 4x + -19 Reorder the terms: 8 + 10x + 3(11 + 2x) = 4x + -19 8 + 10x + (11 * 3 + 2x * 3) = 4x + -19 8 + 10x + (33 + 6x) = 4x + -19 Reorder the terms: 8 + 33 + 10x + 6x = 4x + -19 Combine like terms: 8 + 33 = 41 41 + 10x + 6x = 4x + -19 Combine like terms: 10x + 6x = 16x 41 + 16x = 4x + -19 Reorder the terms: 41 + 16x = -19 + 4x Solving 41 + 16x = -19 + 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. 41 + 16x + -4x = -19 + 4x + -4x Combine like terms: 16x + -4x = 12x 41 + 12x = -19 + 4x + -4x Combine like terms: 4x + -4x = 0 41 + 12x = -19 + 0 41 + 12x = -19 Add '-41' to each side of the equation. 41 + -41 + 12x = -19 + -41 Combine like terms: 41 + -41 = 0 0 + 12x = -19 + -41 12x = -19 + -41 Combine like terms: -19 + -41 = -60 12x = -60 Divide each side by '12'. x = -5 Simplifying x = -5
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