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Simplifying 10x + 15 = 12x + 3 + -6x + -4 Reorder the terms: 15 + 10x = 12x + 3 + -6x + -4 Reorder the terms: 15 + 10x = 3 + -4 + 12x + -6x Combine like terms: 3 + -4 = -1 15 + 10x = -1 + 12x + -6x Combine like terms: 12x + -6x = 6x 15 + 10x = -1 + 6x Solving 15 + 10x = -1 + 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. 15 + 10x + -6x = -1 + 6x + -6x Combine like terms: 10x + -6x = 4x 15 + 4x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + 4x = -1 + 0 15 + 4x = -1 Add '-15' to each side of the equation. 15 + -15 + 4x = -1 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = -1 + -15 4x = -1 + -15 Combine like terms: -1 + -15 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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