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Simplifying 8(x + -1) + 3 = 4 + -2(x + 2) Reorder the terms: 8(-1 + x) + 3 = 4 + -2(x + 2) (-1 * 8 + x * 8) + 3 = 4 + -2(x + 2) (-8 + 8x) + 3 = 4 + -2(x + 2) Reorder the terms: -8 + 3 + 8x = 4 + -2(x + 2) Combine like terms: -8 + 3 = -5 -5 + 8x = 4 + -2(x + 2) Reorder the terms: -5 + 8x = 4 + -2(2 + x) -5 + 8x = 4 + (2 * -2 + x * -2) -5 + 8x = 4 + (-4 + -2x) Combine like terms: 4 + -4 = 0 -5 + 8x = 0 + -2x -5 + 8x = -2x Solving -5 + 8x = -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 + 8x + 2x = -2x + 2x Combine like terms: 8x + 2x = 10x -5 + 10x = -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 10x = 0 Add '5' to each side of the equation. -5 + 5 + 10x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 10x = 0 + 5 10x = 0 + 5 Combine like terms: 0 + 5 = 5 10x = 5 Divide each side by '10'. x = 0.5 Simplifying x = 0.5
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