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Simplifying -10x + 15 + 12x = 6x + 6 Reorder the terms: 15 + -10x + 12x = 6x + 6 Combine like terms: -10x + 12x = 2x 15 + 2x = 6x + 6 Reorder the terms: 15 + 2x = 6 + 6x Solving 15 + 2x = 6 + 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 + 2x + -6x = 6 + 6x + -6x Combine like terms: 2x + -6x = -4x 15 + -4x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + -4x = 6 + 0 15 + -4x = 6 Add '-15' to each side of the equation. 15 + -15 + -4x = 6 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = 6 + -15 -4x = 6 + -15 Combine like terms: 6 + -15 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25
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