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Simplifying 6(x + -2) = -8(x + 3) + 30 Reorder the terms: 6(-2 + x) = -8(x + 3) + 30 (-2 * 6 + x * 6) = -8(x + 3) + 30 (-12 + 6x) = -8(x + 3) + 30 Reorder the terms: -12 + 6x = -8(3 + x) + 30 -12 + 6x = (3 * -8 + x * -8) + 30 -12 + 6x = (-24 + -8x) + 30 Reorder the terms: -12 + 6x = -24 + 30 + -8x Combine like terms: -24 + 30 = 6 -12 + 6x = 6 + -8x Solving -12 + 6x = 6 + -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. -12 + 6x + 8x = 6 + -8x + 8x Combine like terms: 6x + 8x = 14x -12 + 14x = 6 + -8x + 8x Combine like terms: -8x + 8x = 0 -12 + 14x = 6 + 0 -12 + 14x = 6 Add '12' to each side of the equation. -12 + 12 + 14x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 14x = 6 + 12 14x = 6 + 12 Combine like terms: 6 + 12 = 18 14x = 18 Divide each side by '14'. x = 1.285714286 Simplifying x = 1.285714286
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