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Simplifying 5x + -3x + -15 = -7 + 4x + 12 Reorder the terms: -15 + 5x + -3x = -7 + 4x + 12 Combine like terms: 5x + -3x = 2x -15 + 2x = -7 + 4x + 12 Reorder the terms: -15 + 2x = -7 + 12 + 4x Combine like terms: -7 + 12 = 5 -15 + 2x = 5 + 4x Solving -15 + 2x = 5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -15 + 2x + -4x = 5 + 4x + -4x Combine like terms: 2x + -4x = -2x -15 + -2x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + -2x = 5 + 0 -15 + -2x = 5 Add '15' to each side of the equation. -15 + 15 + -2x = 5 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = 5 + 15 -2x = 5 + 15 Combine like terms: 5 + 15 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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