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Simplifying 8(x + -3) + 2 = 4(x + 9) + -2x Reorder the terms: 8(-3 + x) + 2 = 4(x + 9) + -2x (-3 * 8 + x * 8) + 2 = 4(x + 9) + -2x (-24 + 8x) + 2 = 4(x + 9) + -2x Reorder the terms: -24 + 2 + 8x = 4(x + 9) + -2x Combine like terms: -24 + 2 = -22 -22 + 8x = 4(x + 9) + -2x Reorder the terms: -22 + 8x = 4(9 + x) + -2x -22 + 8x = (9 * 4 + x * 4) + -2x -22 + 8x = (36 + 4x) + -2x Combine like terms: 4x + -2x = 2x -22 + 8x = 36 + 2x Solving -22 + 8x = 36 + 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. -22 + 8x + -2x = 36 + 2x + -2x Combine like terms: 8x + -2x = 6x -22 + 6x = 36 + 2x + -2x Combine like terms: 2x + -2x = 0 -22 + 6x = 36 + 0 -22 + 6x = 36 Add '22' to each side of the equation. -22 + 22 + 6x = 36 + 22 Combine like terms: -22 + 22 = 0 0 + 6x = 36 + 22 6x = 36 + 22 Combine like terms: 36 + 22 = 58 6x = 58 Divide each side by '6'. x = 9.666666667 Simplifying x = 9.666666667
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