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Simplifying 5x + -2(x + -4) = -9 + 5x + 1 Reorder the terms: 5x + -2(-4 + x) = -9 + 5x + 1 5x + (-4 * -2 + x * -2) = -9 + 5x + 1 5x + (8 + -2x) = -9 + 5x + 1 Reorder the terms: 8 + 5x + -2x = -9 + 5x + 1 Combine like terms: 5x + -2x = 3x 8 + 3x = -9 + 5x + 1 Reorder the terms: 8 + 3x = -9 + 1 + 5x Combine like terms: -9 + 1 = -8 8 + 3x = -8 + 5x Solving 8 + 3x = -8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + 3x + -5x = -8 + 5x + -5x Combine like terms: 3x + -5x = -2x 8 + -2x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -2x = -8 + 0 8 + -2x = -8 Add '-8' to each side of the equation. 8 + -8 + -2x = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -8 + -8 -2x = -8 + -8 Combine like terms: -8 + -8 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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