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Simplifying 6(x + -7) = 3x + 48 Reorder the terms: 6(-7 + x) = 3x + 48 (-7 * 6 + x * 6) = 3x + 48 (-42 + 6x) = 3x + 48 Reorder the terms: -42 + 6x = 48 + 3x Solving -42 + 6x = 48 + 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. -42 + 6x + -3x = 48 + 3x + -3x Combine like terms: 6x + -3x = 3x -42 + 3x = 48 + 3x + -3x Combine like terms: 3x + -3x = 0 -42 + 3x = 48 + 0 -42 + 3x = 48 Add '42' to each side of the equation. -42 + 42 + 3x = 48 + 42 Combine like terms: -42 + 42 = 0 0 + 3x = 48 + 42 3x = 48 + 42 Combine like terms: 48 + 42 = 90 3x = 90 Divide each side by '3'. x = 30 Simplifying x = 30
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