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Simplifying 2(5x + 4) + 3(2 + 11) = 4x + -19 Reorder the terms: 2(4 + 5x) + 3(2 + 11) = 4x + -19 (4 * 2 + 5x * 2) + 3(2 + 11) = 4x + -19 (8 + 10x) + 3(2 + 11) = 4x + -19 Combine like terms: 2 + 11 = 13 8 + 10x + 3(13) = 4x + -19 Multiply 3 * 13 8 + 10x + 39 = 4x + -19 Reorder the terms: 8 + 39 + 10x = 4x + -19 Combine like terms: 8 + 39 = 47 47 + 10x = 4x + -19 Reorder the terms: 47 + 10x = -19 + 4x Solving 47 + 10x = -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. 47 + 10x + -4x = -19 + 4x + -4x Combine like terms: 10x + -4x = 6x 47 + 6x = -19 + 4x + -4x Combine like terms: 4x + -4x = 0 47 + 6x = -19 + 0 47 + 6x = -19 Add '-47' to each side of the equation. 47 + -47 + 6x = -19 + -47 Combine like terms: 47 + -47 = 0 0 + 6x = -19 + -47 6x = -19 + -47 Combine like terms: -19 + -47 = -66 6x = -66 Divide each side by '6'. x = -11 Simplifying x = -11
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