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Simplifying -10x + -41 + 7x + 3 = 7x + 12 Reorder the terms: -41 + 3 + -10x + 7x = 7x + 12 Combine like terms: -41 + 3 = -38 -38 + -10x + 7x = 7x + 12 Combine like terms: -10x + 7x = -3x -38 + -3x = 7x + 12 Reorder the terms: -38 + -3x = 12 + 7x Solving -38 + -3x = 12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -38 + -3x + -7x = 12 + 7x + -7x Combine like terms: -3x + -7x = -10x -38 + -10x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 -38 + -10x = 12 + 0 -38 + -10x = 12 Add '38' to each side of the equation. -38 + 38 + -10x = 12 + 38 Combine like terms: -38 + 38 = 0 0 + -10x = 12 + 38 -10x = 12 + 38 Combine like terms: 12 + 38 = 50 -10x = 50 Divide each side by '-10'. x = -5 Simplifying x = -5
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