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Simplifying 40 + 8x = 2(7x + -1) Reorder the terms: 40 + 8x = 2(-1 + 7x) 40 + 8x = (-1 * 2 + 7x * 2) 40 + 8x = (-2 + 14x) Solving 40 + 8x = -2 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 40 + 8x + -14x = -2 + 14x + -14x Combine like terms: 8x + -14x = -6x 40 + -6x = -2 + 14x + -14x Combine like terms: 14x + -14x = 0 40 + -6x = -2 + 0 40 + -6x = -2 Add '-40' to each side of the equation. 40 + -40 + -6x = -2 + -40 Combine like terms: 40 + -40 = 0 0 + -6x = -2 + -40 -6x = -2 + -40 Combine like terms: -2 + -40 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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