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Simplifying 7x + -1(6x + 8) = 3x + -46 Reorder the terms: 7x + -1(8 + 6x) = 3x + -46 7x + (8 * -1 + 6x * -1) = 3x + -46 7x + (-8 + -6x) = 3x + -46 Reorder the terms: -8 + 7x + -6x = 3x + -46 Combine like terms: 7x + -6x = 1x -8 + 1x = 3x + -46 Reorder the terms: -8 + 1x = -46 + 3x Solving -8 + 1x = -46 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -8 + 1x + -3x = -46 + 3x + -3x Combine like terms: 1x + -3x = -2x -8 + -2x = -46 + 3x + -3x Combine like terms: 3x + -3x = 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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