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Simplifying 8(x + -3) = -6(x + 4) + 30 Reorder the terms: 8(-3 + x) = -6(x + 4) + 30 (-3 * 8 + x * 8) = -6(x + 4) + 30 (-24 + 8x) = -6(x + 4) + 30 Reorder the terms: -24 + 8x = -6(4 + x) + 30 -24 + 8x = (4 * -6 + x * -6) + 30 -24 + 8x = (-24 + -6x) + 30 Reorder the terms: -24 + 8x = -24 + 30 + -6x Combine like terms: -24 + 30 = 6 -24 + 8x = 6 + -6x Solving -24 + 8x = 6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -24 + 8x + 6x = 6 + -6x + 6x Combine like terms: 8x + 6x = 14x -24 + 14x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 -24 + 14x = 6 + 0 -24 + 14x = 6 Add '24' to each side of the equation. -24 + 24 + 14x = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 14x = 6 + 24 14x = 6 + 24 Combine like terms: 6 + 24 = 30 14x = 30 Divide each side by '14'. x = 2.142857143 Simplifying x = 2.142857143
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