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Simplifying 8(x + -2) + -2(x + 3) = 30 Reorder the terms: 8(-2 + x) + -2(x + 3) = 30 (-2 * 8 + x * 8) + -2(x + 3) = 30 (-16 + 8x) + -2(x + 3) = 30 Reorder the terms: -16 + 8x + -2(3 + x) = 30 -16 + 8x + (3 * -2 + x * -2) = 30 -16 + 8x + (-6 + -2x) = 30 Reorder the terms: -16 + -6 + 8x + -2x = 30 Combine like terms: -16 + -6 = -22 -22 + 8x + -2x = 30 Combine like terms: 8x + -2x = 6x -22 + 6x = 30 Solving -22 + 6x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 6x = 30 + 22 Combine like terms: -22 + 22 = 0 0 + 6x = 30 + 22 6x = 30 + 22 Combine like terms: 30 + 22 = 52 6x = 52 Divide each side by '6'. x = 8.666666667 Simplifying x = 8.666666667
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