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Simplifying -20(x + 2) + 6(4x + -6) = 3(x + -4) + 13 Reorder the terms: -20(2 + x) + 6(4x + -6) = 3(x + -4) + 13 (2 * -20 + x * -20) + 6(4x + -6) = 3(x + -4) + 13 (-40 + -20x) + 6(4x + -6) = 3(x + -4) + 13 Reorder the terms: -40 + -20x + 6(-6 + 4x) = 3(x + -4) + 13 -40 + -20x + (-6 * 6 + 4x * 6) = 3(x + -4) + 13 -40 + -20x + (-36 + 24x) = 3(x + -4) + 13 Reorder the terms: -40 + -36 + -20x + 24x = 3(x + -4) + 13 Combine like terms: -40 + -36 = -76 -76 + -20x + 24x = 3(x + -4) + 13 Combine like terms: -20x + 24x = 4x -76 + 4x = 3(x + -4) + 13 Reorder the terms: -76 + 4x = 3(-4 + x) + 13 -76 + 4x = (-4 * 3 + x * 3) + 13 -76 + 4x = (-12 + 3x) + 13 Reorder the terms: -76 + 4x = -12 + 13 + 3x Combine like terms: -12 + 13 = 1 -76 + 4x = 1 + 3x Solving -76 + 4x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -76 + 4x + -3x = 1 + 3x + -3x Combine like terms: 4x + -3x = 1x -76 + 1x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -76 + 1x = 1 + 0 -76 + 1x = 1 Add '76' to each side of the equation. -76 + 76 + 1x = 1 + 76 Combine like terms: -76 + 76 = 0 0 + 1x = 1 + 76 1x = 1 + 76 Combine like terms: 1 + 76 = 77 1x = 77 Divide each side by '1'. x = 77 Simplifying x = 77
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