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Simplifying 8 + -5x = -2 + -2(x + 7) Reorder the terms: 8 + -5x = -2 + -2(7 + x) 8 + -5x = -2 + (7 * -2 + x * -2) 8 + -5x = -2 + (-14 + -2x) Combine like terms: -2 + -14 = -16 8 + -5x = -16 + -2x Solving 8 + -5x = -16 + -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. 8 + -5x + 2x = -16 + -2x + 2x Combine like terms: -5x + 2x = -3x 8 + -3x = -16 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + -3x = -16 + 0 8 + -3x = -16 Add '-8' to each side of the equation. 8 + -8 + -3x = -16 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = -16 + -8 -3x = -16 + -8 Combine like terms: -16 + -8 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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