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Simplifying 40 = -1(2x + 6) + -7(2x + -2) Reorder the terms: 40 = -1(6 + 2x) + -7(2x + -2) 40 = (6 * -1 + 2x * -1) + -7(2x + -2) 40 = (-6 + -2x) + -7(2x + -2) Reorder the terms: 40 = -6 + -2x + -7(-2 + 2x) 40 = -6 + -2x + (-2 * -7 + 2x * -7) 40 = -6 + -2x + (14 + -14x) Reorder the terms: 40 = -6 + 14 + -2x + -14x Combine like terms: -6 + 14 = 8 40 = 8 + -2x + -14x Combine like terms: -2x + -14x = -16x 40 = 8 + -16x Solving 40 = 8 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 40 + 16x = 8 + -16x + 16x Combine like terms: -16x + 16x = 0 40 + 16x = 8 + 0 40 + 16x = 8 Add '-40' to each side of the equation. 40 + -40 + 16x = 8 + -40 Combine like terms: 40 + -40 = 0 0 + 16x = 8 + -40 16x = 8 + -40 Combine like terms: 8 + -40 = -32 16x = -32 Divide each side by '16'. x = -2 Simplifying x = -2
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