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Simplifying 5x + -7 + 2(4x + 1) = -2(x + 1) Reorder the terms: 5x + -7 + 2(1 + 4x) = -2(x + 1) 5x + -7 + (1 * 2 + 4x * 2) = -2(x + 1) 5x + -7 + (2 + 8x) = -2(x + 1) Reorder the terms: -7 + 2 + 5x + 8x = -2(x + 1) Combine like terms: -7 + 2 = -5 -5 + 5x + 8x = -2(x + 1) Combine like terms: 5x + 8x = 13x -5 + 13x = -2(x + 1) Reorder the terms: -5 + 13x = -2(1 + x) -5 + 13x = (1 * -2 + x * -2) -5 + 13x = (-2 + -2x) Solving -5 + 13x = -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. -5 + 13x + 2x = -2 + -2x + 2x Combine like terms: 13x + 2x = 15x -5 + 15x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 15x = -2 + 0 -5 + 15x = -2 Add '5' to each side of the equation. -5 + 5 + 15x = -2 + 5 Combine like terms: -5 + 5 = 0 0 + 15x = -2 + 5 15x = -2 + 5 Combine like terms: -2 + 5 = 3 15x = 3 Divide each side by '15'. x = 0.2 Simplifying x = 0.2
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