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Simplifying 2x + -40 = -6(x + -4) Reorder the terms: -40 + 2x = -6(x + -4) Reorder the terms: -40 + 2x = -6(-4 + x) -40 + 2x = (-4 * -6 + x * -6) -40 + 2x = (24 + -6x) Solving -40 + 2x = 24 + -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. -40 + 2x + 6x = 24 + -6x + 6x Combine like terms: 2x + 6x = 8x -40 + 8x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 -40 + 8x = 24 + 0 -40 + 8x = 24 Add '40' to each side of the equation. -40 + 40 + 8x = 24 + 40 Combine like terms: -40 + 40 = 0 0 + 8x = 24 + 40 8x = 24 + 40 Combine like terms: 24 + 40 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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