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Simplifying x + 10 = -3x + -6 Reorder the terms: 10 + x = -3x + -6 Reorder the terms: 10 + x = -6 + -3x Solving 10 + x = -6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 10 + x + 3x = -6 + -3x + 3x Combine like terms: x + 3x = 4x 10 + 4x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 4x = -6 + 0 10 + 4x = -6 Add '-10' to each side of the equation. 10 + -10 + 4x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = -6 + -10 4x = -6 + -10 Combine like terms: -6 + -10 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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