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Simplifying 46 + -1x = 12(x + -7) Reorder the terms: 46 + -1x = 12(-7 + x) 46 + -1x = (-7 * 12 + x * 12) 46 + -1x = (-84 + 12x) Solving 46 + -1x = -84 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 46 + -1x + -12x = -84 + 12x + -12x Combine like terms: -1x + -12x = -13x 46 + -13x = -84 + 12x + -12x Combine like terms: 12x + -12x = 0 46 + -13x = -84 + 0 46 + -13x = -84 Add '-46' to each side of the equation. 46 + -46 + -13x = -84 + -46 Combine like terms: 46 + -46 = 0 0 + -13x = -84 + -46 -13x = -84 + -46 Combine like terms: -84 + -46 = -130 -13x = -130 Divide each side by '-13'. x = 10 Simplifying x = 10
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