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Simplifying -7x + 3(-3x + -5) = -23 + -8x Reorder the terms: -7x + 3(-5 + -3x) = -23 + -8x -7x + (-5 * 3 + -3x * 3) = -23 + -8x -7x + (-15 + -9x) = -23 + -8x Reorder the terms: -15 + -7x + -9x = -23 + -8x Combine like terms: -7x + -9x = -16x -15 + -16x = -23 + -8x Solving -15 + -16x = -23 + -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. -15 + -16x + 8x = -23 + -8x + 8x Combine like terms: -16x + 8x = -8x -15 + -8x = -23 + -8x + 8x Combine like terms: -8x + 8x = 0 -15 + -8x = -23 + 0 -15 + -8x = -23 Add '15' to each side of the equation. -15 + 15 + -8x = -23 + 15 Combine like terms: -15 + 15 = 0 0 + -8x = -23 + 15 -8x = -23 + 15 Combine like terms: -23 + 15 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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