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Simplifying x + -7 + -3(x + -1) + 5(4x + 1) = 0 Reorder the terms: x + -7 + -3(-1 + x) + 5(4x + 1) = 0 x + -7 + (-1 * -3 + x * -3) + 5(4x + 1) = 0 x + -7 + (3 + -3x) + 5(4x + 1) = 0 Reorder the terms: x + -7 + 3 + -3x + 5(1 + 4x) = 0 x + -7 + 3 + -3x + (1 * 5 + 4x * 5) = 0 x + -7 + 3 + -3x + (5 + 20x) = 0 Reorder the terms: -7 + 3 + 5 + x + -3x + 20x = 0 Combine like terms: -7 + 3 = -4 -4 + 5 + x + -3x + 20x = 0 Combine like terms: -4 + 5 = 1 1 + x + -3x + 20x = 0 Combine like terms: x + -3x = -2x 1 + -2x + 20x = 0 Combine like terms: -2x + 20x = 18x 1 + 18x = 0 Solving 1 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 18x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 18x = 0 + -1 18x = 0 + -1 Combine like terms: 0 + -1 = -1 18x = -1 Divide each side by '18'. x = -0.05555555556 Simplifying x = -0.05555555556
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