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