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Simplifying -13 + 6x = -8(x + -4) Reorder the terms: -13 + 6x = -8(-4 + x) -13 + 6x = (-4 * -8 + x * -8) -13 + 6x = (32 + -8x) Solving -13 + 6x = 32 + -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. -13 + 6x + 8x = 32 + -8x + 8x Combine like terms: 6x + 8x = 14x -13 + 14x = 32 + -8x + 8x Combine like terms: -8x + 8x = 0 -13 + 14x = 32 + 0 -13 + 14x = 32 Add '13' to each side of the equation. -13 + 13 + 14x = 32 + 13 Combine like terms: -13 + 13 = 0 0 + 14x = 32 + 13 14x = 32 + 13 Combine like terms: 32 + 13 = 45 14x = 45 Divide each side by '14'. x = 3.214285714 Simplifying x = 3.214285714
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