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Simplifying 6(2x + -4) + 5x = 48 + -1x Reorder the terms: 6(-4 + 2x) + 5x = 48 + -1x (-4 * 6 + 2x * 6) + 5x = 48 + -1x (-24 + 12x) + 5x = 48 + -1x Combine like terms: 12x + 5x = 17x -24 + 17x = 48 + -1x Solving -24 + 17x = 48 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -24 + 17x + x = 48 + -1x + x Combine like terms: 17x + x = 18x -24 + 18x = 48 + -1x + x Combine like terms: -1x + x = 0 -24 + 18x = 48 + 0 -24 + 18x = 48 Add '24' to each side of the equation. -24 + 24 + 18x = 48 + 24 Combine like terms: -24 + 24 = 0 0 + 18x = 48 + 24 18x = 48 + 24 Combine like terms: 48 + 24 = 72 18x = 72 Divide each side by '18'. x = 4 Simplifying x = 4
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