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Simplifying 3(x + -2) = 30 + x + -2x + 2 Reorder the terms: 3(-2 + x) = 30 + x + -2x + 2 (-2 * 3 + x * 3) = 30 + x + -2x + 2 (-6 + 3x) = 30 + x + -2x + 2 Reorder the terms: -6 + 3x = 30 + 2 + x + -2x Combine like terms: 30 + 2 = 32 -6 + 3x = 32 + x + -2x Combine like terms: x + -2x = -1x -6 + 3x = 32 + -1x Solving -6 + 3x = 32 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -6 + 3x + x = 32 + -1x + x Combine like terms: 3x + x = 4x -6 + 4x = 32 + -1x + x Combine like terms: -1x + x = 0 -6 + 4x = 32 + 0 -6 + 4x = 32 Add '6' to each side of the equation. -6 + 6 + 4x = 32 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 32 + 6 4x = 32 + 6 Combine like terms: 32 + 6 = 38 4x = 38 Divide each side by '4'. x = 9.5 Simplifying x = 9.5
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