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Simplifying 4(x + -2) = x + 5(x + -4) Reorder the terms: 4(-2 + x) = x + 5(x + -4) (-2 * 4 + x * 4) = x + 5(x + -4) (-8 + 4x) = x + 5(x + -4) Reorder the terms: -8 + 4x = x + 5(-4 + x) -8 + 4x = x + (-4 * 5 + x * 5) -8 + 4x = x + (-20 + 5x) Reorder the terms: -8 + 4x = -20 + x + 5x Combine like terms: x + 5x = 6x -8 + 4x = -20 + 6x Solving -8 + 4x = -20 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 4x + -6x = -20 + 6x + -6x Combine like terms: 4x + -6x = -2x -8 + -2x = -20 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -2x = -20 + 0 -8 + -2x = -20 Add '8' to each side of the equation. -8 + 8 + -2x = -20 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = -20 + 8 -2x = -20 + 8 Combine like terms: -20 + 8 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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