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