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Simplifying 4x + 7x + 19 = 3 * 12 + -4 + (5 * 16) + -5x Reorder the terms: 19 + 4x + 7x = 3 * 12 + -4 + (5 * 16) + -5x Combine like terms: 4x + 7x = 11x 19 + 11x = 3 * 12 + -4 + (5 * 16) + -5x Multiply 3 * 12 19 + 11x = 36 + -4 + (5 * 16) + -5x Multiply 5 * 16 19 + 11x = 36 + -4 + (80) + -5x 19 + 11x = 36 + -4 + 80 + -5x Combine like terms: 36 + -4 = 32 19 + 11x = 32 + 80 + -5x Combine like terms: 32 + 80 = 112 19 + 11x = 112 + -5x Solving 19 + 11x = 112 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 19 + 11x + 5x = 112 + -5x + 5x Combine like terms: 11x + 5x = 16x 19 + 16x = 112 + -5x + 5x Combine like terms: -5x + 5x = 0 19 + 16x = 112 + 0 19 + 16x = 112 Add '-19' to each side of the equation. 19 + -19 + 16x = 112 + -19 Combine like terms: 19 + -19 = 0 0 + 16x = 112 + -19 16x = 112 + -19 Combine like terms: 112 + -19 = 93 16x = 93 Divide each side by '16'. x = 5.8125 Simplifying x = 5.8125
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