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Simplifying -7x + 46 = -2(x + -3) Reorder the terms: 46 + -7x = -2(x + -3) Reorder the terms: 46 + -7x = -2(-3 + x) 46 + -7x = (-3 * -2 + x * -2) 46 + -7x = (6 + -2x) Solving 46 + -7x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 46 + -7x + 2x = 6 + -2x + 2x Combine like terms: -7x + 2x = -5x 46 + -5x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 46 + -5x = 6 + 0 46 + -5x = 6 Add '-46' to each side of the equation. 46 + -46 + -5x = 6 + -46 Combine like terms: 46 + -46 = 0 0 + -5x = 6 + -46 -5x = 6 + -46 Combine like terms: 6 + -46 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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