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Simplifying 4(3x + -5) + -1(x + -7) = 6x + -13 Reorder the terms: 4(-5 + 3x) + -1(x + -7) = 6x + -13 (-5 * 4 + 3x * 4) + -1(x + -7) = 6x + -13 (-20 + 12x) + -1(x + -7) = 6x + -13 Reorder the terms: -20 + 12x + -1(-7 + x) = 6x + -13 -20 + 12x + (-7 * -1 + x * -1) = 6x + -13 -20 + 12x + (7 + -1x) = 6x + -13 Reorder the terms: -20 + 7 + 12x + -1x = 6x + -13 Combine like terms: -20 + 7 = -13 -13 + 12x + -1x = 6x + -13 Combine like terms: 12x + -1x = 11x -13 + 11x = 6x + -13 Reorder the terms: -13 + 11x = -13 + 6x Add '13' to each side of the equation. -13 + 13 + 11x = -13 + 13 + 6x Combine like terms: -13 + 13 = 0 0 + 11x = -13 + 13 + 6x 11x = -13 + 13 + 6x Combine like terms: -13 + 13 = 0 11x = 0 + 6x 11x = 6x Solving 11x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 11x + -6x = 6x + -6x Combine like terms: 11x + -6x = 5x 5x = 6x + -6x Combine like terms: 6x + -6x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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