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Simplifying 9(13x + 4) = -19(x + -4) Reorder the terms: 9(4 + 13x) = -19(x + -4) (4 * 9 + 13x * 9) = -19(x + -4) (36 + 117x) = -19(x + -4) Reorder the terms: 36 + 117x = -19(-4 + x) 36 + 117x = (-4 * -19 + x * -19) 36 + 117x = (76 + -19x) Solving 36 + 117x = 76 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. 36 + 117x + 19x = 76 + -19x + 19x Combine like terms: 117x + 19x = 136x 36 + 136x = 76 + -19x + 19x Combine like terms: -19x + 19x = 0 36 + 136x = 76 + 0 36 + 136x = 76 Add '-36' to each side of the equation. 36 + -36 + 136x = 76 + -36 Combine like terms: 36 + -36 = 0 0 + 136x = 76 + -36 136x = 76 + -36 Combine like terms: 76 + -36 = 40 136x = 40 Divide each side by '136'. x = 0.2941176471 Simplifying x = 0.2941176471