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Simplifying x + -1(4x + 1) = 7x + 4 Reorder the terms: x + -1(1 + 4x) = 7x + 4 x + (1 * -1 + 4x * -1) = 7x + 4 x + (-1 + -4x) = 7x + 4 Reorder the terms: -1 + x + -4x = 7x + 4 Combine like terms: x + -4x = -3x -1 + -3x = 7x + 4 Reorder the terms: -1 + -3x = 4 + 7x Solving -1 + -3x = 4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -1 + -3x + -7x = 4 + 7x + -7x Combine like terms: -3x + -7x = -10x -1 + -10x = 4 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -10x = 4 + 0 -1 + -10x = 4 Add '1' to each side of the equation. -1 + 1 + -10x = 4 + 1 Combine like terms: -1 + 1 = 0 0 + -10x = 4 + 1 -10x = 4 + 1 Combine like terms: 4 + 1 = 5 -10x = 5 Divide each side by '-10'. x = -0.5 Simplifying x = -0.5
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