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Simplifying 0.625(8x + 16) + 1 = 0.5(12x + -2) + 3 Reorder the terms: 0.625(16 + 8x) + 1 = 0.5(12x + -2) + 3 (16 * 0.625 + 8x * 0.625) + 1 = 0.5(12x + -2) + 3 (10 + 5x) + 1 = 0.5(12x + -2) + 3 Reorder the terms: 10 + 1 + 5x = 0.5(12x + -2) + 3 Combine like terms: 10 + 1 = 11 11 + 5x = 0.5(12x + -2) + 3 Reorder the terms: 11 + 5x = 0.5(-2 + 12x) + 3 11 + 5x = (-2 * 0.5 + 12x * 0.5) + 3 11 + 5x = (-1 + 6x) + 3 Reorder the terms: 11 + 5x = -1 + 3 + 6x Combine like terms: -1 + 3 = 2 11 + 5x = 2 + 6x Solving 11 + 5x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 11 + 5x + -6x = 2 + 6x + -6x Combine like terms: 5x + -6x = -1x 11 + -1x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 11 + -1x = 2 + 0 11 + -1x = 2 Add '-11' to each side of the equation. 11 + -11 + -1x = 2 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 2 + -11 -1x = 2 + -11 Combine like terms: 2 + -11 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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