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Simplifying 8x + 5 = 5(x + -2) + 3 Reorder the terms: 5 + 8x = 5(x + -2) + 3 Reorder the terms: 5 + 8x = 5(-2 + x) + 3 5 + 8x = (-2 * 5 + x * 5) + 3 5 + 8x = (-10 + 5x) + 3 Reorder the terms: 5 + 8x = -10 + 3 + 5x Combine like terms: -10 + 3 = -7 5 + 8x = -7 + 5x Solving 5 + 8x = -7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5 + 8x + -5x = -7 + 5x + -5x Combine like terms: 8x + -5x = 3x 5 + 3x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + 3x = -7 + 0 5 + 3x = -7 Add '-5' to each side of the equation. 5 + -5 + 3x = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = -7 + -5 3x = -7 + -5 Combine like terms: -7 + -5 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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