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Simplifying x + -46 = 3x + 3(2x + -2) Reorder the terms: -46 + x = 3x + 3(2x + -2) Reorder the terms: -46 + x = 3x + 3(-2 + 2x) -46 + x = 3x + (-2 * 3 + 2x * 3) -46 + x = 3x + (-6 + 6x) Reorder the terms: -46 + x = -6 + 3x + 6x Combine like terms: 3x + 6x = 9x -46 + x = -6 + 9x Solving -46 + x = -6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -46 + x + -9x = -6 + 9x + -9x Combine like terms: x + -9x = -8x -46 + -8x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 -46 + -8x = -6 + 0 -46 + -8x = -6 Add '46' to each side of the equation. -46 + 46 + -8x = -6 + 46 Combine like terms: -46 + 46 = 0 0 + -8x = -6 + 46 -8x = -6 + 46 Combine like terms: -6 + 46 = 40 -8x = 40 Divide each side by '-8'. x = -5 Simplifying x = -5
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