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Simplifying 4(x + -2) = -2(x + -13) Reorder the terms: 4(-2 + x) = -2(x + -13) (-2 * 4 + x * 4) = -2(x + -13) (-8 + 4x) = -2(x + -13) Reorder the terms: -8 + 4x = -2(-13 + x) -8 + 4x = (-13 * -2 + x * -2) -8 + 4x = (26 + -2x) Solving -8 + 4x = 26 + -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. -8 + 4x + 2x = 26 + -2x + 2x Combine like terms: 4x + 2x = 6x -8 + 6x = 26 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 6x = 26 + 0 -8 + 6x = 26 Add '8' to each side of the equation. -8 + 8 + 6x = 26 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 26 + 8 6x = 26 + 8 Combine like terms: 26 + 8 = 34 6x = 34 Divide each side by '6'. x = 5.666666667 Simplifying x = 5.666666667
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