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Simplifying 3x + -13 = -8(x + -8) Reorder the terms: -13 + 3x = -8(x + -8) Reorder the terms: -13 + 3x = -8(-8 + x) -13 + 3x = (-8 * -8 + x * -8) -13 + 3x = (64 + -8x) Solving -13 + 3x = 64 + -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 + 3x + 8x = 64 + -8x + 8x Combine like terms: 3x + 8x = 11x -13 + 11x = 64 + -8x + 8x Combine like terms: -8x + 8x = 0 -13 + 11x = 64 + 0 -13 + 11x = 64 Add '13' to each side of the equation. -13 + 13 + 11x = 64 + 13 Combine like terms: -13 + 13 = 0 0 + 11x = 64 + 13 11x = 64 + 13 Combine like terms: 64 + 13 = 77 11x = 77 Divide each side by '11'. x = 7 Simplifying x = 7
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