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Simplifying 0.625(8x + 32) + 1 = 0.50(12x + -2) + 13 Reorder the terms: 0.625(32 + 8x) + 1 = 0.50(12x + -2) + 13 (32 * 0.625 + 8x * 0.625) + 1 = 0.50(12x + -2) + 13 (20 + 5x) + 1 = 0.50(12x + -2) + 13 Reorder the terms: 20 + 1 + 5x = 0.50(12x + -2) + 13 Combine like terms: 20 + 1 = 21 21 + 5x = 0.50(12x + -2) + 13 Reorder the terms: 21 + 5x = 0.50(-2 + 12x) + 13 21 + 5x = (-2 * 0.50 + 12x * 0.50) + 13 21 + 5x = (-1 + 6x) + 13 Reorder the terms: 21 + 5x = -1 + 13 + 6x Combine like terms: -1 + 13 = 12 21 + 5x = 12 + 6x Solving 21 + 5x = 12 + 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. 21 + 5x + -6x = 12 + 6x + -6x Combine like terms: 5x + -6x = -1x 21 + -1x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 21 + -1x = 12 + 0 21 + -1x = 12 Add '-21' to each side of the equation. 21 + -21 + -1x = 12 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = 12 + -21 -1x = 12 + -21 Combine like terms: 12 + -21 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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