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Simplifying 8(x + -4) + 2 = -3(x + 3) + -1 Reorder the terms: 8(-4 + x) + 2 = -3(x + 3) + -1 (-4 * 8 + x * 8) + 2 = -3(x + 3) + -1 (-32 + 8x) + 2 = -3(x + 3) + -1 Reorder the terms: -32 + 2 + 8x = -3(x + 3) + -1 Combine like terms: -32 + 2 = -30 -30 + 8x = -3(x + 3) + -1 Reorder the terms: -30 + 8x = -3(3 + x) + -1 -30 + 8x = (3 * -3 + x * -3) + -1 -30 + 8x = (-9 + -3x) + -1 Reorder the terms: -30 + 8x = -9 + -1 + -3x Combine like terms: -9 + -1 = -10 -30 + 8x = -10 + -3x Solving -30 + 8x = -10 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -30 + 8x + 3x = -10 + -3x + 3x Combine like terms: 8x + 3x = 11x -30 + 11x = -10 + -3x + 3x Combine like terms: -3x + 3x = 0 -30 + 11x = -10 + 0 -30 + 11x = -10 Add '30' to each side of the equation. -30 + 30 + 11x = -10 + 30 Combine like terms: -30 + 30 = 0 0 + 11x = -10 + 30 11x = -10 + 30 Combine like terms: -10 + 30 = 20 11x = 20 Divide each side by '11'. x = 1.818181818 Simplifying x = 1.818181818
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