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Simplifying 8x + -13 = 3(x + -5) + -3 Reorder the terms: -13 + 8x = 3(x + -5) + -3 Reorder the terms: -13 + 8x = 3(-5 + x) + -3 -13 + 8x = (-5 * 3 + x * 3) + -3 -13 + 8x = (-15 + 3x) + -3 Reorder the terms: -13 + 8x = -15 + -3 + 3x Combine like terms: -15 + -3 = -18 -13 + 8x = -18 + 3x Solving -13 + 8x = -18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -13 + 8x + -3x = -18 + 3x + -3x Combine like terms: 8x + -3x = 5x -13 + 5x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 -13 + 5x = -18 + 0 -13 + 5x = -18 Add '13' to each side of the equation. -13 + 13 + 5x = -18 + 13 Combine like terms: -13 + 13 = 0 0 + 5x = -18 + 13 5x = -18 + 13 Combine like terms: -18 + 13 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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