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Simplifying 5(3x + -4) + -2(3x + -13) = 8x + 6 Reorder the terms: 5(-4 + 3x) + -2(3x + -13) = 8x + 6 (-4 * 5 + 3x * 5) + -2(3x + -13) = 8x + 6 (-20 + 15x) + -2(3x + -13) = 8x + 6 Reorder the terms: -20 + 15x + -2(-13 + 3x) = 8x + 6 -20 + 15x + (-13 * -2 + 3x * -2) = 8x + 6 -20 + 15x + (26 + -6x) = 8x + 6 Reorder the terms: -20 + 26 + 15x + -6x = 8x + 6 Combine like terms: -20 + 26 = 6 6 + 15x + -6x = 8x + 6 Combine like terms: 15x + -6x = 9x 6 + 9x = 8x + 6 Reorder the terms: 6 + 9x = 6 + 8x Add '-6' to each side of the equation. 6 + -6 + 9x = 6 + -6 + 8x Combine like terms: 6 + -6 = 0 0 + 9x = 6 + -6 + 8x 9x = 6 + -6 + 8x Combine like terms: 6 + -6 = 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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