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Simplifying (5x + -2) + -2(4x + 1) = 7x + -2 Reorder the terms: (-2 + 5x) + -2(4x + 1) = 7x + -2 Remove parenthesis around (-2 + 5x) -2 + 5x + -2(4x + 1) = 7x + -2 Reorder the terms: -2 + 5x + -2(1 + 4x) = 7x + -2 -2 + 5x + (1 * -2 + 4x * -2) = 7x + -2 -2 + 5x + (-2 + -8x) = 7x + -2 Reorder the terms: -2 + -2 + 5x + -8x = 7x + -2 Combine like terms: -2 + -2 = -4 -4 + 5x + -8x = 7x + -2 Combine like terms: 5x + -8x = -3x -4 + -3x = 7x + -2 Reorder the terms: -4 + -3x = -2 + 7x Solving -4 + -3x = -2 + 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. -4 + -3x + -7x = -2 + 7x + -7x Combine like terms: -3x + -7x = -10x -4 + -10x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -10x = -2 + 0 -4 + -10x = -2 Add '4' to each side of the equation. -4 + 4 + -10x = -2 + 4 Combine like terms: -4 + 4 = 0 0 + -10x = -2 + 4 -10x = -2 + 4 Combine like terms: -2 + 4 = 2 -10x = 2 Divide each side by '-10'. x = -0.2 Simplifying x = -0.2
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