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Simplifying 8 + -5(x + -3) = 6 + -4(x + 2) Reorder the terms: 8 + -5(-3 + x) = 6 + -4(x + 2) 8 + (-3 * -5 + x * -5) = 6 + -4(x + 2) 8 + (15 + -5x) = 6 + -4(x + 2) Combine like terms: 8 + 15 = 23 23 + -5x = 6 + -4(x + 2) Reorder the terms: 23 + -5x = 6 + -4(2 + x) 23 + -5x = 6 + (2 * -4 + x * -4) 23 + -5x = 6 + (-8 + -4x) Combine like terms: 6 + -8 = -2 23 + -5x = -2 + -4x Solving 23 + -5x = -2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 23 + -5x + 4x = -2 + -4x + 4x Combine like terms: -5x + 4x = -1x 23 + -1x = -2 + -4x + 4x Combine like terms: -4x + 4x = 0 23 + -1x = -2 + 0 23 + -1x = -2 Add '-23' to each side of the equation. 23 + -23 + -1x = -2 + -23 Combine like terms: 23 + -23 = 0 0 + -1x = -2 + -23 -1x = -2 + -23 Combine like terms: -2 + -23 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25
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