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Simplifying 3(x + -2) + 5(x + 1) = -2(x + 4) + 5 Reorder the terms: 3(-2 + x) + 5(x + 1) = -2(x + 4) + 5 (-2 * 3 + x * 3) + 5(x + 1) = -2(x + 4) + 5 (-6 + 3x) + 5(x + 1) = -2(x + 4) + 5 Reorder the terms: -6 + 3x + 5(1 + x) = -2(x + 4) + 5 -6 + 3x + (1 * 5 + x * 5) = -2(x + 4) + 5 -6 + 3x + (5 + 5x) = -2(x + 4) + 5 Reorder the terms: -6 + 5 + 3x + 5x = -2(x + 4) + 5 Combine like terms: -6 + 5 = -1 -1 + 3x + 5x = -2(x + 4) + 5 Combine like terms: 3x + 5x = 8x -1 + 8x = -2(x + 4) + 5 Reorder the terms: -1 + 8x = -2(4 + x) + 5 -1 + 8x = (4 * -2 + x * -2) + 5 -1 + 8x = (-8 + -2x) + 5 Reorder the terms: -1 + 8x = -8 + 5 + -2x Combine like terms: -8 + 5 = -3 -1 + 8x = -3 + -2x Solving -1 + 8x = -3 + -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. -1 + 8x + 2x = -3 + -2x + 2x Combine like terms: 8x + 2x = 10x -1 + 10x = -3 + -2x + 2x Combine like terms: -2x + 2x = 0 -1 + 10x = -3 + 0 -1 + 10x = -3 Add '1' to each side of the equation. -1 + 1 + 10x = -3 + 1 Combine like terms: -1 + 1 = 0 0 + 10x = -3 + 1 10x = -3 + 1 Combine like terms: -3 + 1 = -2 10x = -2 Divide each side by '10'. x = -0.2 Simplifying x = -0.2
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