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Simplifying 12x + 4 = 4(2x + 1) + -1x + 7 Reorder the terms: 4 + 12x = 4(2x + 1) + -1x + 7 Reorder the terms: 4 + 12x = 4(1 + 2x) + -1x + 7 4 + 12x = (1 * 4 + 2x * 4) + -1x + 7 4 + 12x = (4 + 8x) + -1x + 7 Reorder the terms: 4 + 12x = 4 + 7 + 8x + -1x Combine like terms: 4 + 7 = 11 4 + 12x = 11 + 8x + -1x Combine like terms: 8x + -1x = 7x 4 + 12x = 11 + 7x Solving 4 + 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. 4 + 12x + -7x = 11 + 7x + -7x Combine like terms: 12x + -7x = 5x 4 + 5x = 11 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + 5x = 11 + 0 4 + 5x = 11 Add '-4' to each side of the equation. 4 + -4 + 5x = 11 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 11 + -4 5x = 11 + -4 Combine like terms: 11 + -4 = 7 5x = 7 Divide each side by '5'. x = 1.4 Simplifying x = 1.4
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