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Simplifying 6(x + 4) + -1(2x + -5) = -19 Reorder the terms: 6(4 + x) + -1(2x + -5) = -19 (4 * 6 + x * 6) + -1(2x + -5) = -19 (24 + 6x) + -1(2x + -5) = -19 Reorder the terms: 24 + 6x + -1(-5 + 2x) = -19 24 + 6x + (-5 * -1 + 2x * -1) = -19 24 + 6x + (5 + -2x) = -19 Reorder the terms: 24 + 5 + 6x + -2x = -19 Combine like terms: 24 + 5 = 29 29 + 6x + -2x = -19 Combine like terms: 6x + -2x = 4x 29 + 4x = -19 Solving 29 + 4x = -19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 4x = -19 + -29 Combine like terms: 29 + -29 = 0 0 + 4x = -19 + -29 4x = -19 + -29 Combine like terms: -19 + -29 = -48 4x = -48 Divide each side by '4'. x = -12 Simplifying x = -12
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