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Simplifying 6(2x + -8) = 3x + 15 Reorder the terms: 6(-8 + 2x) = 3x + 15 (-8 * 6 + 2x * 6) = 3x + 15 (-48 + 12x) = 3x + 15 Reorder the terms: -48 + 12x = 15 + 3x Solving -48 + 12x = 15 + 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. -48 + 12x + -3x = 15 + 3x + -3x Combine like terms: 12x + -3x = 9x -48 + 9x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -48 + 9x = 15 + 0 -48 + 9x = 15 Add '48' to each side of the equation. -48 + 48 + 9x = 15 + 48 Combine like terms: -48 + 48 = 0 0 + 9x = 15 + 48 9x = 15 + 48 Combine like terms: 15 + 48 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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