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Simplifying 13 = -4(x + 8) + 5x Reorder the terms: 13 = -4(8 + x) + 5x 13 = (8 * -4 + x * -4) + 5x 13 = (-32 + -4x) + 5x Combine like terms: -4x + 5x = 1x 13 = -32 + 1x Solving 13 = -32 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 13 + -1x = -32 + 1x + -1x Combine like terms: 1x + -1x = 0 13 + -1x = -32 + 0 13 + -1x = -32 Add '-13' to each side of the equation. 13 + -13 + -1x = -32 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = -32 + -13 -1x = -32 + -13 Combine like terms: -32 + -13 = -45 -1x = -45 Divide each side by '-1'. x = 45 Simplifying x = 45
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