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Simplifying 4x + -46 = 3(x + 8) Reorder the terms: -46 + 4x = 3(x + 8) Reorder the terms: -46 + 4x = 3(8 + x) -46 + 4x = (8 * 3 + x * 3) -46 + 4x = (24 + 3x) Solving -46 + 4x = 24 + 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. -46 + 4x + -3x = 24 + 3x + -3x Combine like terms: 4x + -3x = 1x -46 + 1x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 -46 + 1x = 24 + 0 -46 + 1x = 24 Add '46' to each side of the equation. -46 + 46 + 1x = 24 + 46 Combine like terms: -46 + 46 = 0 0 + 1x = 24 + 46 1x = 24 + 46 Combine like terms: 24 + 46 = 70 1x = 70 Divide each side by '1'. x = 70 Simplifying x = 70
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