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Simplifying x + -2(x + 4) = 8(x + -3) + 1 Reorder the terms: x + -2(4 + x) = 8(x + -3) + 1 x + (4 * -2 + x * -2) = 8(x + -3) + 1 x + (-8 + -2x) = 8(x + -3) + 1 Reorder the terms: -8 + x + -2x = 8(x + -3) + 1 Combine like terms: x + -2x = -1x -8 + -1x = 8(x + -3) + 1 Reorder the terms: -8 + -1x = 8(-3 + x) + 1 -8 + -1x = (-3 * 8 + x * 8) + 1 -8 + -1x = (-24 + 8x) + 1 Reorder the terms: -8 + -1x = -24 + 1 + 8x Combine like terms: -24 + 1 = -23 -8 + -1x = -23 + 8x Solving -8 + -1x = -23 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -8 + -1x + -8x = -23 + 8x + -8x Combine like terms: -1x + -8x = -9x -8 + -9x = -23 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -9x = -23 + 0 -8 + -9x = -23 Add '8' to each side of the equation. -8 + 8 + -9x = -23 + 8 Combine like terms: -8 + 8 = 0 0 + -9x = -23 + 8 -9x = -23 + 8 Combine like terms: -23 + 8 = -15 -9x = -15 Divide each side by '-9'. x = 1.666666667 Simplifying x = 1.666666667
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