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Simplifying 3 + -6x = 3x + -2x + -46 Reorder the terms: 3 + -6x = -46 + 3x + -2x Combine like terms: 3x + -2x = 1x 3 + -6x = -46 + 1x Solving 3 + -6x = -46 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3 + -6x + -1x = -46 + 1x + -1x Combine like terms: -6x + -1x = -7x 3 + -7x = -46 + 1x + -1x Combine like terms: 1x + -1x = 0 3 + -7x = -46 + 0 3 + -7x = -46 Add '-3' to each side of the equation. 3 + -3 + -7x = -46 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = -46 + -3 -7x = -46 + -3 Combine like terms: -46 + -3 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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