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Simplifying -12 + x + 2x + -3 = 16 + 5x + -6x + -1 Reorder the terms: -12 + -3 + x + 2x = 16 + 5x + -6x + -1 Combine like terms: -12 + -3 = -15 -15 + x + 2x = 16 + 5x + -6x + -1 Combine like terms: x + 2x = 3x -15 + 3x = 16 + 5x + -6x + -1 Reorder the terms: -15 + 3x = 16 + -1 + 5x + -6x Combine like terms: 16 + -1 = 15 -15 + 3x = 15 + 5x + -6x Combine like terms: 5x + -6x = -1x -15 + 3x = 15 + -1x Solving -15 + 3x = 15 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -15 + 3x + x = 15 + -1x + x Combine like terms: 3x + x = 4x -15 + 4x = 15 + -1x + x Combine like terms: -1x + x = 0 -15 + 4x = 15 + 0 -15 + 4x = 15 Add '15' to each side of the equation. -15 + 15 + 4x = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = 15 + 15 4x = 15 + 15 Combine like terms: 15 + 15 = 30 4x = 30 Divide each side by '4'. x = 7.5 Simplifying x = 7.5
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