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Simplifying 5x + -40 = -2(x + 6) Reorder the terms: -40 + 5x = -2(x + 6) Reorder the terms: -40 + 5x = -2(6 + x) -40 + 5x = (6 * -2 + x * -2) -40 + 5x = (-12 + -2x) Solving -40 + 5x = -12 + -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. -40 + 5x + 2x = -12 + -2x + 2x Combine like terms: 5x + 2x = 7x -40 + 7x = -12 + -2x + 2x Combine like terms: -2x + 2x = 0 -40 + 7x = -12 + 0 -40 + 7x = -12 Add '40' to each side of the equation. -40 + 40 + 7x = -12 + 40 Combine like terms: -40 + 40 = 0 0 + 7x = -12 + 40 7x = -12 + 40 Combine like terms: -12 + 40 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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