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Simplifying 13 + -1(4x + -19) = (36 + 4x) + (19 + -6x) Reorder the terms: 13 + -1(-19 + 4x) = (36 + 4x) + (19 + -6x) 13 + (-19 * -1 + 4x * -1) = (36 + 4x) + (19 + -6x) 13 + (19 + -4x) = (36 + 4x) + (19 + -6x) Combine like terms: 13 + 19 = 32 32 + -4x = (36 + 4x) + (19 + -6x) Remove parenthesis around (36 + 4x) 32 + -4x = 36 + 4x + (19 + -6x) Remove parenthesis around (19 + -6x) 32 + -4x = 36 + 4x + 19 + -6x Reorder the terms: 32 + -4x = 36 + 19 + 4x + -6x Combine like terms: 36 + 19 = 55 32 + -4x = 55 + 4x + -6x Combine like terms: 4x + -6x = -2x 32 + -4x = 55 + -2x Solving 32 + -4x = 55 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 32 + -4x + 2x = 55 + -2x + 2x Combine like terms: -4x + 2x = -2x 32 + -2x = 55 + -2x + 2x Combine like terms: -2x + 2x = 0 32 + -2x = 55 + 0 32 + -2x = 55 Add '-32' to each side of the equation. 32 + -32 + -2x = 55 + -32 Combine like terms: 32 + -32 = 0 0 + -2x = 55 + -32 -2x = 55 + -32 Combine like terms: 55 + -32 = 23 -2x = 23 Divide each side by '-2'. x = -11.5 Simplifying x = -11.5
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