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Simplifying 4X + 7X + 19 = 3 * 12 + -4 + (5 * 16) + -5 Reorder the terms: 19 + 4X + 7X = 3 * 12 + -4 + (5 * 16) + -5 Combine like terms: 4X + 7X = 11X 19 + 11X = 3 * 12 + -4 + (5 * 16) + -5 Multiply 3 * 12 19 + 11X = 36 + -4 + (5 * 16) + -5 Multiply 5 * 16 19 + 11X = 36 + -4 + (80) + -5 19 + 11X = 36 + -4 + 80 + -5 Combine like terms: 36 + -4 = 32 19 + 11X = 32 + 80 + -5 Combine like terms: 32 + 80 = 112 19 + 11X = 112 + -5 Combine like terms: 112 + -5 = 107 19 + 11X = 107 Solving 19 + 11X = 107 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 11X = 107 + -19 Combine like terms: 19 + -19 = 0 0 + 11X = 107 + -19 11X = 107 + -19 Combine like terms: 107 + -19 = 88 11X = 88 Divide each side by '11'. X = 8 Simplifying X = 8
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