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Simplifying 2(6x + -4) = 3(5x + 7) + 1 Reorder the terms: 2(-4 + 6x) = 3(5x + 7) + 1 (-4 * 2 + 6x * 2) = 3(5x + 7) + 1 (-8 + 12x) = 3(5x + 7) + 1 Reorder the terms: -8 + 12x = 3(7 + 5x) + 1 -8 + 12x = (7 * 3 + 5x * 3) + 1 -8 + 12x = (21 + 15x) + 1 Reorder the terms: -8 + 12x = 21 + 1 + 15x Combine like terms: 21 + 1 = 22 -8 + 12x = 22 + 15x Solving -8 + 12x = 22 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -8 + 12x + -15x = 22 + 15x + -15x Combine like terms: 12x + -15x = -3x -8 + -3x = 22 + 15x + -15x Combine like terms: 15x + -15x = 0 -8 + -3x = 22 + 0 -8 + -3x = 22 Add '8' to each side of the equation. -8 + 8 + -3x = 22 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 22 + 8 -3x = 22 + 8 Combine like terms: 22 + 8 = 30 -3x = 30 Divide each side by '-3'. x = -10 Simplifying x = -10
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