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Simplifying 15x + -10 + 25 + -3x = 6x + -30 + -1x + 3 Reorder the terms: -10 + 25 + 15x + -3x = 6x + -30 + -1x + 3 Combine like terms: -10 + 25 = 15 15 + 15x + -3x = 6x + -30 + -1x + 3 Combine like terms: 15x + -3x = 12x 15 + 12x = 6x + -30 + -1x + 3 Reorder the terms: 15 + 12x = -30 + 3 + 6x + -1x Combine like terms: -30 + 3 = -27 15 + 12x = -27 + 6x + -1x Combine like terms: 6x + -1x = 5x 15 + 12x = -27 + 5x Solving 15 + 12x = -27 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 15 + 12x + -5x = -27 + 5x + -5x Combine like terms: 12x + -5x = 7x 15 + 7x = -27 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + 7x = -27 + 0 15 + 7x = -27 Add '-15' to each side of the equation. 15 + -15 + 7x = -27 + -15 Combine like terms: 15 + -15 = 0 0 + 7x = -27 + -15 7x = -27 + -15 Combine like terms: -27 + -15 = -42 7x = -42 Divide each side by '7'. x = -6 Simplifying x = -6
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