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Simplifying 5(3x + 2) = -4(x + 4) Reorder the terms: 5(2 + 3x) = -4(x + 4) (2 * 5 + 3x * 5) = -4(x + 4) (10 + 15x) = -4(x + 4) Reorder the terms: 10 + 15x = -4(4 + x) 10 + 15x = (4 * -4 + x * -4) 10 + 15x = (-16 + -4x) Solving 10 + 15x = -16 + -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. 10 + 15x + 4x = -16 + -4x + 4x Combine like terms: 15x + 4x = 19x 10 + 19x = -16 + -4x + 4x Combine like terms: -4x + 4x = 0 10 + 19x = -16 + 0 10 + 19x = -16 Add '-10' to each side of the equation. 10 + -10 + 19x = -16 + -10 Combine like terms: 10 + -10 = 0 0 + 19x = -16 + -10 19x = -16 + -10 Combine like terms: -16 + -10 = -26 19x = -26 Divide each side by '19'. x = -1.368421053 Simplifying x = -1.368421053
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