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Simplifying 5(X + 3) + 4 = -2(X + -4) + -4 Reorder the terms: 5(3 + X) + 4 = -2(X + -4) + -4 (3 * 5 + X * 5) + 4 = -2(X + -4) + -4 (15 + 5X) + 4 = -2(X + -4) + -4 Reorder the terms: 15 + 4 + 5X = -2(X + -4) + -4 Combine like terms: 15 + 4 = 19 19 + 5X = -2(X + -4) + -4 Reorder the terms: 19 + 5X = -2(-4 + X) + -4 19 + 5X = (-4 * -2 + X * -2) + -4 19 + 5X = (8 + -2X) + -4 Reorder the terms: 19 + 5X = 8 + -4 + -2X Combine like terms: 8 + -4 = 4 19 + 5X = 4 + -2X Solving 19 + 5X = 4 + -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. 19 + 5X + 2X = 4 + -2X + 2X Combine like terms: 5X + 2X = 7X 19 + 7X = 4 + -2X + 2X Combine like terms: -2X + 2X = 0 19 + 7X = 4 + 0 19 + 7X = 4 Add '-19' to each side of the equation. 19 + -19 + 7X = 4 + -19 Combine like terms: 19 + -19 = 0 0 + 7X = 4 + -19 7X = 4 + -19 Combine like terms: 4 + -19 = -15 7X = -15 Divide each side by '7'. X = -2.142857143 Simplifying X = -2.142857143
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