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Simplifying 3x + 6 + -10 = 4x + 7 + x + -12 Reorder the terms: 6 + -10 + 3x = 4x + 7 + x + -12 Combine like terms: 6 + -10 = -4 -4 + 3x = 4x + 7 + x + -12 Reorder the terms: -4 + 3x = 7 + -12 + 4x + x Combine like terms: 7 + -12 = -5 -4 + 3x = -5 + 4x + x Combine like terms: 4x + x = 5x -4 + 3x = -5 + 5x Solving -4 + 3x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 3x + -5x = -5 + 5x + -5x Combine like terms: 3x + -5x = -2x -4 + -2x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -2x = -5 + 0 -4 + -2x = -5 Add '4' to each side of the equation. -4 + 4 + -2x = -5 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = -5 + 4 -2x = -5 + 4 Combine like terms: -5 + 4 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5
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