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Simplifying -7(1 + -2x) + 6(x + -2) = 0 (1 * -7 + -2x * -7) + 6(x + -2) = 0 (-7 + 14x) + 6(x + -2) = 0 Reorder the terms: -7 + 14x + 6(-2 + x) = 0 -7 + 14x + (-2 * 6 + x * 6) = 0 -7 + 14x + (-12 + 6x) = 0 Reorder the terms: -7 + -12 + 14x + 6x = 0 Combine like terms: -7 + -12 = -19 -19 + 14x + 6x = 0 Combine like terms: 14x + 6x = 20x -19 + 20x = 0 Solving -19 + 20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 20x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 20x = 0 + 19 20x = 0 + 19 Combine like terms: 0 + 19 = 19 20x = 19 Divide each side by '20'. x = 0.95 Simplifying x = 0.95
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