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Simplifying 4(x + -1) + -2 = 2(x + -5) Reorder the terms: 4(-1 + x) + -2 = 2(x + -5) (-1 * 4 + x * 4) + -2 = 2(x + -5) (-4 + 4x) + -2 = 2(x + -5) Reorder the terms: -4 + -2 + 4x = 2(x + -5) Combine like terms: -4 + -2 = -6 -6 + 4x = 2(x + -5) Reorder the terms: -6 + 4x = 2(-5 + x) -6 + 4x = (-5 * 2 + x * 2) -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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