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Simplifying -2x + -12 + 6x + -30 = 3x + -12 + 10 Reorder the terms: -12 + -30 + -2x + 6x = 3x + -12 + 10 Combine like terms: -12 + -30 = -42 -42 + -2x + 6x = 3x + -12 + 10 Combine like terms: -2x + 6x = 4x -42 + 4x = 3x + -12 + 10 Reorder the terms: -42 + 4x = -12 + 10 + 3x Combine like terms: -12 + 10 = -2 -42 + 4x = -2 + 3x Solving -42 + 4x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -42 + 4x + -3x = -2 + 3x + -3x Combine like terms: 4x + -3x = 1x -42 + 1x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -42 + 1x = -2 + 0 -42 + 1x = -2 Add '42' to each side of the equation. -42 + 42 + 1x = -2 + 42 Combine like terms: -42 + 42 = 0 0 + 1x = -2 + 42 1x = -2 + 42 Combine like terms: -2 + 42 = 40 1x = 40 Divide each side by '1'. x = 40 Simplifying x = 40
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