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Simplifying 7(3x + -5) + -3(4x + -13) = 2(4x + 5) + -6 Reorder the terms: 7(-5 + 3x) + -3(4x + -13) = 2(4x + 5) + -6 (-5 * 7 + 3x * 7) + -3(4x + -13) = 2(4x + 5) + -6 (-35 + 21x) + -3(4x + -13) = 2(4x + 5) + -6 Reorder the terms: -35 + 21x + -3(-13 + 4x) = 2(4x + 5) + -6 -35 + 21x + (-13 * -3 + 4x * -3) = 2(4x + 5) + -6 -35 + 21x + (39 + -12x) = 2(4x + 5) + -6 Reorder the terms: -35 + 39 + 21x + -12x = 2(4x + 5) + -6 Combine like terms: -35 + 39 = 4 4 + 21x + -12x = 2(4x + 5) + -6 Combine like terms: 21x + -12x = 9x 4 + 9x = 2(4x + 5) + -6 Reorder the terms: 4 + 9x = 2(5 + 4x) + -6 4 + 9x = (5 * 2 + 4x * 2) + -6 4 + 9x = (10 + 8x) + -6 Reorder the terms: 4 + 9x = 10 + -6 + 8x Combine like terms: 10 + -6 = 4 4 + 9x = 4 + 8x Add '-4' to each side of the equation. 4 + -4 + 9x = 4 + -4 + 8x Combine like terms: 4 + -4 = 0 0 + 9x = 4 + -4 + 8x 9x = 4 + -4 + 8x Combine like terms: 4 + -4 = 0 9x = 0 + 8x 9x = 8x Solving 9x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 9x + -8x = 8x + -8x Combine like terms: 9x + -8x = 1x 1x = 8x + -8x Combine like terms: 8x + -8x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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