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Simplifying 5x + 3(x + -2) = -2(x + 1) Reorder the terms: 5x + 3(-2 + x) = -2(x + 1) 5x + (-2 * 3 + x * 3) = -2(x + 1) 5x + (-6 + 3x) = -2(x + 1) Reorder the terms: -6 + 5x + 3x = -2(x + 1) Combine like terms: 5x + 3x = 8x -6 + 8x = -2(x + 1) Reorder the terms: -6 + 8x = -2(1 + x) -6 + 8x = (1 * -2 + x * -2) -6 + 8x = (-2 + -2x) Solving -6 + 8x = -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. -6 + 8x + 2x = -2 + -2x + 2x Combine like terms: 8x + 2x = 10x -6 + 10x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 10x = -2 + 0 -6 + 10x = -2 Add '6' to each side of the equation. -6 + 6 + 10x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 10x = -2 + 6 10x = -2 + 6 Combine like terms: -2 + 6 = 4 10x = 4 Divide each side by '10'. x = 0.4 Simplifying x = 0.4
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