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Simplifying 3(x + -5) = 48 + -6x Reorder the terms: 3(-5 + x) = 48 + -6x (-5 * 3 + x * 3) = 48 + -6x (-15 + 3x) = 48 + -6x Solving -15 + 3x = 48 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -15 + 3x + 6x = 48 + -6x + 6x Combine like terms: 3x + 6x = 9x -15 + 9x = 48 + -6x + 6x Combine like terms: -6x + 6x = 0 -15 + 9x = 48 + 0 -15 + 9x = 48 Add '15' to each side of the equation. -15 + 15 + 9x = 48 + 15 Combine like terms: -15 + 15 = 0 0 + 9x = 48 + 15 9x = 48 + 15 Combine like terms: 48 + 15 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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