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Simplifying 8(6x + -1) = 23(2x + -2) Reorder the terms: 8(-1 + 6x) = 23(2x + -2) (-1 * 8 + 6x * 8) = 23(2x + -2) (-8 + 48x) = 23(2x + -2) Reorder the terms: -8 + 48x = 23(-2 + 2x) -8 + 48x = (-2 * 23 + 2x * 23) -8 + 48x = (-46 + 46x) Solving -8 + 48x = -46 + 46x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46x' to each side of the equation. -8 + 48x + -46x = -46 + 46x + -46x Combine like terms: 48x + -46x = 2x -8 + 2x = -46 + 46x + -46x Combine like terms: 46x + -46x = 0 -8 + 2x = -46 + 0 -8 + 2x = -46 Add '8' to each side of the equation. -8 + 8 + 2x = -46 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = -46 + 8 2x = -46 + 8 Combine like terms: -46 + 8 = -38 2x = -38 Divide each side by '2'. x = -19 Simplifying x = -19
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