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Simplifying 8 + -3(2x + -5) = 2x + -6(x + -2) Reorder the terms: 8 + -3(-5 + 2x) = 2x + -6(x + -2) 8 + (-5 * -3 + 2x * -3) = 2x + -6(x + -2) 8 + (15 + -6x) = 2x + -6(x + -2) Combine like terms: 8 + 15 = 23 23 + -6x = 2x + -6(x + -2) Reorder the terms: 23 + -6x = 2x + -6(-2 + x) 23 + -6x = 2x + (-2 * -6 + x * -6) 23 + -6x = 2x + (12 + -6x) Reorder the terms: 23 + -6x = 12 + 2x + -6x Combine like terms: 2x + -6x = -4x 23 + -6x = 12 + -4x Solving 23 + -6x = 12 + -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 + -6x + 4x = 12 + -4x + 4x Combine like terms: -6x + 4x = -2x 23 + -2x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 23 + -2x = 12 + 0 23 + -2x = 12 Add '-23' to each side of the equation. 23 + -23 + -2x = 12 + -23 Combine like terms: 23 + -23 = 0 0 + -2x = 12 + -23 -2x = 12 + -23 Combine like terms: 12 + -23 = -11 -2x = -11 Divide each side by '-2'. x = 5.5 Simplifying x = 5.5
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