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Simplifying 13x + -2(3x + -4) = 6(x + 20) + -4 Reorder the terms: 13x + -2(-4 + 3x) = 6(x + 20) + -4 13x + (-4 * -2 + 3x * -2) = 6(x + 20) + -4 13x + (8 + -6x) = 6(x + 20) + -4 Reorder the terms: 8 + 13x + -6x = 6(x + 20) + -4 Combine like terms: 13x + -6x = 7x 8 + 7x = 6(x + 20) + -4 Reorder the terms: 8 + 7x = 6(20 + x) + -4 8 + 7x = (20 * 6 + x * 6) + -4 8 + 7x = (120 + 6x) + -4 Reorder the terms: 8 + 7x = 120 + -4 + 6x Combine like terms: 120 + -4 = 116 8 + 7x = 116 + 6x Solving 8 + 7x = 116 + 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. 8 + 7x + -6x = 116 + 6x + -6x Combine like terms: 7x + -6x = 1x 8 + 1x = 116 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + 1x = 116 + 0 8 + 1x = 116 Add '-8' to each side of the equation. 8 + -8 + 1x = 116 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 116 + -8 1x = 116 + -8 Combine like terms: 116 + -8 = 108 1x = 108 Divide each side by '1'. x = 108 Simplifying x = 108
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