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Simplifying 5x + -12 + -3x + 5 = 12x + 15 + -6x + -9 Reorder the terms: -12 + 5 + 5x + -3x = 12x + 15 + -6x + -9 Combine like terms: -12 + 5 = -7 -7 + 5x + -3x = 12x + 15 + -6x + -9 Combine like terms: 5x + -3x = 2x -7 + 2x = 12x + 15 + -6x + -9 Reorder the terms: -7 + 2x = 15 + -9 + 12x + -6x Combine like terms: 15 + -9 = 6 -7 + 2x = 6 + 12x + -6x Combine like terms: 12x + -6x = 6x -7 + 2x = 6 + 6x Solving -7 + 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. -7 + 2x + -6x = 6 + 6x + -6x Combine like terms: 2x + -6x = -4x -7 + -4x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -4x = 6 + 0 -7 + -4x = 6 Add '7' to each side of the equation. -7 + 7 + -4x = 6 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = 6 + 7 -4x = 6 + 7 Combine like terms: 6 + 7 = 13 -4x = 13 Divide each side by '-4'. x = -3.25 Simplifying x = -3.25
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