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Simplifying 8 = 3 + -5(8 + -3x) 8 = 3 + (8 * -5 + -3x * -5) 8 = 3 + (-40 + 15x) Combine like terms: 3 + -40 = -37 8 = -37 + 15x Solving 8 = -37 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 8 + -15x = -37 + 15x + -15x Combine like terms: 15x + -15x = 0 8 + -15x = -37 + 0 8 + -15x = -37 Add '-8' to each side of the equation. 8 + -8 + -15x = -37 + -8 Combine like terms: 8 + -8 = 0 0 + -15x = -37 + -8 -15x = -37 + -8 Combine like terms: -37 + -8 = -45 -15x = -45 Divide each side by '-15'. x = 3 Simplifying x = 3
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