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