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Simplifying 3x + -5[x + -5] = -9 + 2x + 2 Reorder the terms: 3x + -5[-5 + x] = -9 + 2x + 2 3x + [-5 * -5 + x * -5] = -9 + 2x + 2 3x + [25 + -5x] = -9 + 2x + 2 Reorder the terms: 25 + 3x + -5x = -9 + 2x + 2 Combine like terms: 3x + -5x = -2x 25 + -2x = -9 + 2x + 2 Reorder the terms: 25 + -2x = -9 + 2 + 2x Combine like terms: -9 + 2 = -7 25 + -2x = -7 + 2x Solving 25 + -2x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 25 + -2x + -2x = -7 + 2x + -2x Combine like terms: -2x + -2x = -4x 25 + -4x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 25 + -4x = -7 + 0 25 + -4x = -7 Add '-25' to each side of the equation. 25 + -25 + -4x = -7 + -25 Combine like terms: 25 + -25 = 0 0 + -4x = -7 + -25 -4x = -7 + -25 Combine like terms: -7 + -25 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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