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Simplifying 9x + -2(4 + -3x) = 5(x + -4) + -38 9x + (4 * -2 + -3x * -2) = 5(x + -4) + -38 9x + (-8 + 6x) = 5(x + -4) + -38 Reorder the terms: -8 + 9x + 6x = 5(x + -4) + -38 Combine like terms: 9x + 6x = 15x -8 + 15x = 5(x + -4) + -38 Reorder the terms: -8 + 15x = 5(-4 + x) + -38 -8 + 15x = (-4 * 5 + x * 5) + -38 -8 + 15x = (-20 + 5x) + -38 Reorder the terms: -8 + 15x = -20 + -38 + 5x Combine like terms: -20 + -38 = -58 -8 + 15x = -58 + 5x Solving -8 + 15x = -58 + 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 + 15x + -5x = -58 + 5x + -5x Combine like terms: 15x + -5x = 10x -8 + 10x = -58 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + 10x = -58 + 0 -8 + 10x = -58 Add '8' to each side of the equation. -8 + 8 + 10x = -58 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = -58 + 8 10x = -58 + 8 Combine like terms: -58 + 8 = -50 10x = -50 Divide each side by '10'. x = -5 Simplifying x = -5
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