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Simplifying 4(3 + -1x) + 8 + 26 = 6x + -2(5 + x) (3 * 4 + -1x * 4) + 8 + 26 = 6x + -2(5 + x) (12 + -4x) + 8 + 26 = 6x + -2(5 + x) Reorder the terms: 12 + 8 + 26 + -4x = 6x + -2(5 + x) Combine like terms: 12 + 8 = 20 20 + 26 + -4x = 6x + -2(5 + x) Combine like terms: 20 + 26 = 46 46 + -4x = 6x + -2(5 + x) 46 + -4x = 6x + (5 * -2 + x * -2) 46 + -4x = 6x + (-10 + -2x) Reorder the terms: 46 + -4x = -10 + 6x + -2x Combine like terms: 6x + -2x = 4x 46 + -4x = -10 + 4x Solving 46 + -4x = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 46 + -4x + -4x = -10 + 4x + -4x Combine like terms: -4x + -4x = -8x 46 + -8x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 46 + -8x = -10 + 0 46 + -8x = -10 Add '-46' to each side of the equation. 46 + -46 + -8x = -10 + -46 Combine like terms: 46 + -46 = 0 0 + -8x = -10 + -46 -8x = -10 + -46 Combine like terms: -10 + -46 = -56 -8x = -56 Divide each side by '-8'. x = 7 Simplifying x = 7
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