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Simplifying 8x + 3 = 4(2x + 1) + -1x + 8 Reorder the terms: 3 + 8x = 4(2x + 1) + -1x + 8 Reorder the terms: 3 + 8x = 4(1 + 2x) + -1x + 8 3 + 8x = (1 * 4 + 2x * 4) + -1x + 8 3 + 8x = (4 + 8x) + -1x + 8 Reorder the terms: 3 + 8x = 4 + 8 + 8x + -1x Combine like terms: 4 + 8 = 12 3 + 8x = 12 + 8x + -1x Combine like terms: 8x + -1x = 7x 3 + 8x = 12 + 7x Solving 3 + 8x = 12 + 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 + 8x + -7x = 12 + 7x + -7x Combine like terms: 8x + -7x = 1x 3 + 1x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + 1x = 12 + 0 3 + 1x = 12 Add '-3' to each side of the equation. 3 + -3 + 1x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 12 + -3 1x = 12 + -3 Combine like terms: 12 + -3 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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