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Simplifying 8(x + -2) + -2(x + -1) + 7x = 0 Reorder the terms: 8(-2 + x) + -2(x + -1) + 7x = 0 (-2 * 8 + x * 8) + -2(x + -1) + 7x = 0 (-16 + 8x) + -2(x + -1) + 7x = 0 Reorder the terms: -16 + 8x + -2(-1 + x) + 7x = 0 -16 + 8x + (-1 * -2 + x * -2) + 7x = 0 -16 + 8x + (2 + -2x) + 7x = 0 Reorder the terms: -16 + 2 + 8x + -2x + 7x = 0 Combine like terms: -16 + 2 = -14 -14 + 8x + -2x + 7x = 0 Combine like terms: 8x + -2x = 6x -14 + 6x + 7x = 0 Combine like terms: 6x + 7x = 13x -14 + 13x = 0 Solving -14 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 13x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 13x = 0 + 14 13x = 0 + 14 Combine like terms: 0 + 14 = 14 13x = 14 Divide each side by '13'. x = 1.076923077 Simplifying x = 1.076923077
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