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Simplifying 2(4x + -7) = 2(1 + -1x) Reorder the terms: 2(-7 + 4x) = 2(1 + -1x) (-7 * 2 + 4x * 2) = 2(1 + -1x) (-14 + 8x) = 2(1 + -1x) -14 + 8x = (1 * 2 + -1x * 2) -14 + 8x = (2 + -2x) Solving -14 + 8x = 2 + -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. -14 + 8x + 2x = 2 + -2x + 2x Combine like terms: 8x + 2x = 10x -14 + 10x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 -14 + 10x = 2 + 0 -14 + 10x = 2 Add '14' to each side of the equation. -14 + 14 + 10x = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 10x = 2 + 14 10x = 2 + 14 Combine like terms: 2 + 14 = 16 10x = 16 Divide each side by '10'. x = 1.6 Simplifying x = 1.6
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