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Simplifying 8 + -5(4 + -3x) = 2(4 + -7) + -8x 8 + (4 * -5 + -3x * -5) = 2(4 + -7) + -8x 8 + (-20 + 15x) = 2(4 + -7) + -8x Combine like terms: 8 + -20 = -12 -12 + 15x = 2(4 + -7) + -8x Combine like terms: 4 + -7 = -3 -12 + 15x = 2(-3) + -8x Multiply 2 * -3 -12 + 15x = -6 + -8x Solving -12 + 15x = -6 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -12 + 15x + 8x = -6 + -8x + 8x Combine like terms: 15x + 8x = 23x -12 + 23x = -6 + -8x + 8x Combine like terms: -8x + 8x = 0 -12 + 23x = -6 + 0 -12 + 23x = -6 Add '12' to each side of the equation. -12 + 12 + 23x = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 23x = -6 + 12 23x = -6 + 12 Combine like terms: -6 + 12 = 6 23x = 6 Divide each side by '23'. x = 0.2608695652 Simplifying x = 0.2608695652
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