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Simplifying 2(5x + -1) + -7 + 1 = 4(1 + -1x) + -3 Reorder the terms: 2(-1 + 5x) + -7 + 1 = 4(1 + -1x) + -3 (-1 * 2 + 5x * 2) + -7 + 1 = 4(1 + -1x) + -3 (-2 + 10x) + -7 + 1 = 4(1 + -1x) + -3 Reorder the terms: -2 + -7 + 1 + 10x = 4(1 + -1x) + -3 Combine like terms: -2 + -7 = -9 -9 + 1 + 10x = 4(1 + -1x) + -3 Combine like terms: -9 + 1 = -8 -8 + 10x = 4(1 + -1x) + -3 -8 + 10x = (1 * 4 + -1x * 4) + -3 -8 + 10x = (4 + -4x) + -3 Reorder the terms: -8 + 10x = 4 + -3 + -4x Combine like terms: 4 + -3 = 1 -8 + 10x = 1 + -4x Solving -8 + 10x = 1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -8 + 10x + 4x = 1 + -4x + 4x Combine like terms: 10x + 4x = 14x -8 + 14x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 14x = 1 + 0 -8 + 14x = 1 Add '8' to each side of the equation. -8 + 8 + 14x = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 14x = 1 + 8 14x = 1 + 8 Combine like terms: 1 + 8 = 9 14x = 9 Divide each side by '14'. x = 0.6428571429 Simplifying x = 0.6428571429
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