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Simplifying 6(2x + -4) + -5 = 1 + 7x Reorder the terms: 6(-4 + 2x) + -5 = 1 + 7x (-4 * 6 + 2x * 6) + -5 = 1 + 7x (-24 + 12x) + -5 = 1 + 7x Reorder the terms: -24 + -5 + 12x = 1 + 7x Combine like terms: -24 + -5 = -29 -29 + 12x = 1 + 7x Solving -29 + 12x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -29 + 12x + -7x = 1 + 7x + -7x Combine like terms: 12x + -7x = 5x -29 + 5x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -29 + 5x = 1 + 0 -29 + 5x = 1 Add '29' to each side of the equation. -29 + 29 + 5x = 1 + 29 Combine like terms: -29 + 29 = 0 0 + 5x = 1 + 29 5x = 1 + 29 Combine like terms: 1 + 29 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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