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Simplifying 6(2x + 1) + -3(4x + -7) = 2x + -1 Reorder the terms: 6(1 + 2x) + -3(4x + -7) = 2x + -1 (1 * 6 + 2x * 6) + -3(4x + -7) = 2x + -1 (6 + 12x) + -3(4x + -7) = 2x + -1 Reorder the terms: 6 + 12x + -3(-7 + 4x) = 2x + -1 6 + 12x + (-7 * -3 + 4x * -3) = 2x + -1 6 + 12x + (21 + -12x) = 2x + -1 Reorder the terms: 6 + 21 + 12x + -12x = 2x + -1 Combine like terms: 6 + 21 = 27 27 + 12x + -12x = 2x + -1 Combine like terms: 12x + -12x = 0 27 + 0 = 2x + -1 27 = 2x + -1 Reorder the terms: 27 = -1 + 2x Solving 27 = -1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 27 + -2x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 27 + -2x = -1 + 0 27 + -2x = -1 Add '-27' to each side of the equation. 27 + -27 + -2x = -1 + -27 Combine like terms: 27 + -27 = 0 0 + -2x = -1 + -27 -2x = -1 + -27 Combine like terms: -1 + -27 = -28 -2x = -28 Divide each side by '-2'. x = 14 Simplifying x = 14
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