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Simplifying 3(x + -8) + 8 = 3x + -8(8 + -1x) Reorder the terms: 3(-8 + x) + 8 = 3x + -8(8 + -1x) (-8 * 3 + x * 3) + 8 = 3x + -8(8 + -1x) (-24 + 3x) + 8 = 3x + -8(8 + -1x) Reorder the terms: -24 + 8 + 3x = 3x + -8(8 + -1x) Combine like terms: -24 + 8 = -16 -16 + 3x = 3x + -8(8 + -1x) -16 + 3x = 3x + (8 * -8 + -1x * -8) -16 + 3x = 3x + (-64 + 8x) Reorder the terms: -16 + 3x = -64 + 3x + 8x Combine like terms: 3x + 8x = 11x -16 + 3x = -64 + 11x Solving -16 + 3x = -64 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -16 + 3x + -11x = -64 + 11x + -11x Combine like terms: 3x + -11x = -8x -16 + -8x = -64 + 11x + -11x Combine like terms: 11x + -11x = 0 -16 + -8x = -64 + 0 -16 + -8x = -64 Add '16' to each side of the equation. -16 + 16 + -8x = -64 + 16 Combine like terms: -16 + 16 = 0 0 + -8x = -64 + 16 -8x = -64 + 16 Combine like terms: -64 + 16 = -48 -8x = -48 Divide each side by '-8'. x = 6 Simplifying x = 6
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