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Simplifying 7x + 2(x + -8) = -2(x + 1) + 7 Reorder the terms: 7x + 2(-8 + x) = -2(x + 1) + 7 7x + (-8 * 2 + x * 2) = -2(x + 1) + 7 7x + (-16 + 2x) = -2(x + 1) + 7 Reorder the terms: -16 + 7x + 2x = -2(x + 1) + 7 Combine like terms: 7x + 2x = 9x -16 + 9x = -2(x + 1) + 7 Reorder the terms: -16 + 9x = -2(1 + x) + 7 -16 + 9x = (1 * -2 + x * -2) + 7 -16 + 9x = (-2 + -2x) + 7 Reorder the terms: -16 + 9x = -2 + 7 + -2x Combine like terms: -2 + 7 = 5 -16 + 9x = 5 + -2x Solving -16 + 9x = 5 + -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. -16 + 9x + 2x = 5 + -2x + 2x Combine like terms: 9x + 2x = 11x -16 + 11x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 -16 + 11x = 5 + 0 -16 + 11x = 5 Add '16' to each side of the equation. -16 + 16 + 11x = 5 + 16 Combine like terms: -16 + 16 = 0 0 + 11x = 5 + 16 11x = 5 + 16 Combine like terms: 5 + 16 = 21 11x = 21 Divide each side by '11'. x = 1.909090909 Simplifying x = 1.909090909
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