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Simplifying 4x + 3 + -6 = 12 + -15x + 13x + -9 Reorder the terms: 3 + -6 + 4x = 12 + -15x + 13x + -9 Combine like terms: 3 + -6 = -3 -3 + 4x = 12 + -15x + 13x + -9 Reorder the terms: -3 + 4x = 12 + -9 + -15x + 13x Combine like terms: 12 + -9 = 3 -3 + 4x = 3 + -15x + 13x Combine like terms: -15x + 13x = -2x -3 + 4x = 3 + -2x Solving -3 + 4x = 3 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -3 + 4x + 2x = 3 + -2x + 2x Combine like terms: 4x + 2x = 6x -3 + 6x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 6x = 3 + 0 -3 + 6x = 3 Add '3' to each side of the equation. -3 + 3 + 6x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 6x = 3 + 3 6x = 3 + 3 Combine like terms: 3 + 3 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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