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Simplifying 9x + -5(x + -8) = 2(x + -4) + 6 Reorder the terms: 9x + -5(-8 + x) = 2(x + -4) + 6 9x + (-8 * -5 + x * -5) = 2(x + -4) + 6 9x + (40 + -5x) = 2(x + -4) + 6 Reorder the terms: 40 + 9x + -5x = 2(x + -4) + 6 Combine like terms: 9x + -5x = 4x 40 + 4x = 2(x + -4) + 6 Reorder the terms: 40 + 4x = 2(-4 + x) + 6 40 + 4x = (-4 * 2 + x * 2) + 6 40 + 4x = (-8 + 2x) + 6 Reorder the terms: 40 + 4x = -8 + 6 + 2x Combine like terms: -8 + 6 = -2 40 + 4x = -2 + 2x Solving 40 + 4x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 40 + 4x + -2x = -2 + 2x + -2x Combine like terms: 4x + -2x = 2x 40 + 2x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 40 + 2x = -2 + 0 40 + 2x = -2 Add '-40' to each side of the equation. 40 + -40 + 2x = -2 + -40 Combine like terms: 40 + -40 = 0 0 + 2x = -2 + -40 2x = -2 + -40 Combine like terms: -2 + -40 = -42 2x = -42 Divide each side by '2'. x = -21 Simplifying x = -21
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