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Simplifying 2x + -6 = -2 + 4(x + -2) Reorder the terms: -6 + 2x = -2 + 4(x + -2) Reorder the terms: -6 + 2x = -2 + 4(-2 + x) -6 + 2x = -2 + (-2 * 4 + x * 4) -6 + 2x = -2 + (-8 + 4x) Combine like terms: -2 + -8 = -10 -6 + 2x = -10 + 4x Solving -6 + 2x = -10 + 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. -6 + 2x + -4x = -10 + 4x + -4x Combine like terms: 2x + -4x = -2x -6 + -2x = -10 + 4x + -4x Combine like terms: 4x + -4x = 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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