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Simplifying 3x + 16(3x + 2) = 4(x + 3) Reorder the terms: 3x + 16(2 + 3x) = 4(x + 3) 3x + (2 * 16 + 3x * 16) = 4(x + 3) 3x + (32 + 48x) = 4(x + 3) Reorder the terms: 32 + 3x + 48x = 4(x + 3) Combine like terms: 3x + 48x = 51x 32 + 51x = 4(x + 3) Reorder the terms: 32 + 51x = 4(3 + x) 32 + 51x = (3 * 4 + x * 4) 32 + 51x = (12 + 4x) Solving 32 + 51x = 12 + 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. 32 + 51x + -4x = 12 + 4x + -4x Combine like terms: 51x + -4x = 47x 32 + 47x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 32 + 47x = 12 + 0 32 + 47x = 12 Add '-32' to each side of the equation. 32 + -32 + 47x = 12 + -32 Combine like terms: 32 + -32 = 0 0 + 47x = 12 + -32 47x = 12 + -32 Combine like terms: 12 + -32 = -20 47x = -20 Divide each side by '47'. x = -0.4255319149 Simplifying x = -0.4255319149
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