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Simplifying 12x + 3 = 2(4x + 1) + -1x + 9 Reorder the terms: 3 + 12x = 2(4x + 1) + -1x + 9 Reorder the terms: 3 + 12x = 2(1 + 4x) + -1x + 9 3 + 12x = (1 * 2 + 4x * 2) + -1x + 9 3 + 12x = (2 + 8x) + -1x + 9 Reorder the terms: 3 + 12x = 2 + 9 + 8x + -1x Combine like terms: 2 + 9 = 11 3 + 12x = 11 + 8x + -1x Combine like terms: 8x + -1x = 7x 3 + 12x = 11 + 7x Solving 3 + 12x = 11 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 3 + 12x + -7x = 11 + 7x + -7x Combine like terms: 12x + -7x = 5x 3 + 5x = 11 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + 5x = 11 + 0 3 + 5x = 11 Add '-3' to each side of the equation. 3 + -3 + 5x = 11 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 11 + -3 5x = 11 + -3 Combine like terms: 11 + -3 = 8 5x = 8 Divide each side by '5'. x = 1.6 Simplifying x = 1.6
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