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Simplifying 2(3x + -4) = 1 + -5(x + -7) Reorder the terms: 2(-4 + 3x) = 1 + -5(x + -7) (-4 * 2 + 3x * 2) = 1 + -5(x + -7) (-8 + 6x) = 1 + -5(x + -7) Reorder the terms: -8 + 6x = 1 + -5(-7 + x) -8 + 6x = 1 + (-7 * -5 + x * -5) -8 + 6x = 1 + (35 + -5x) Combine like terms: 1 + 35 = 36 -8 + 6x = 36 + -5x Solving -8 + 6x = 36 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -8 + 6x + 5x = 36 + -5x + 5x Combine like terms: 6x + 5x = 11x -8 + 11x = 36 + -5x + 5x Combine like terms: -5x + 5x = 0 -8 + 11x = 36 + 0 -8 + 11x = 36 Add '8' to each side of the equation. -8 + 8 + 11x = 36 + 8 Combine like terms: -8 + 8 = 0 0 + 11x = 36 + 8 11x = 36 + 8 Combine like terms: 36 + 8 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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