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Simplifying 4x + 6x + 3 + -2x = 12x + 15 Reorder the terms: 3 + 4x + 6x + -2x = 12x + 15 Combine like terms: 4x + 6x = 10x 3 + 10x + -2x = 12x + 15 Combine like terms: 10x + -2x = 8x 3 + 8x = 12x + 15 Reorder the terms: 3 + 8x = 15 + 12x Solving 3 + 8x = 15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 3 + 8x + -12x = 15 + 12x + -12x Combine like terms: 8x + -12x = -4x 3 + -4x = 15 + 12x + -12x Combine like terms: 12x + -12x = 0 3 + -4x = 15 + 0 3 + -4x = 15 Add '-3' to each side of the equation. 3 + -3 + -4x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 15 + -3 -4x = 15 + -3 Combine like terms: 15 + -3 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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