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Simplifying -3x + 6 + -10 = 4x + 12 Reorder the terms: 6 + -10 + -3x = 4x + 12 Combine like terms: 6 + -10 = -4 -4 + -3x = 4x + 12 Reorder the terms: -4 + -3x = 12 + 4x Solving -4 + -3x = 12 + 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. -4 + -3x + -4x = 12 + 4x + -4x Combine like terms: -3x + -4x = -7x -4 + -7x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -7x = 12 + 0 -4 + -7x = 12 Add '4' to each side of the equation. -4 + 4 + -7x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -7x = 12 + 4 -7x = 12 + 4 Combine like terms: 12 + 4 = 16 -7x = 16 Divide each side by '-7'. x = -2.285714286 Simplifying x = -2.285714286
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