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Simplifying -10x + -5(2x + 18) = 6(-5x + -15) + -8x Reorder the terms: -10x + -5(18 + 2x) = 6(-5x + -15) + -8x -10x + (18 * -5 + 2x * -5) = 6(-5x + -15) + -8x -10x + (-90 + -10x) = 6(-5x + -15) + -8x Reorder the terms: -90 + -10x + -10x = 6(-5x + -15) + -8x Combine like terms: -10x + -10x = -20x -90 + -20x = 6(-5x + -15) + -8x Reorder the terms: -90 + -20x = 6(-15 + -5x) + -8x -90 + -20x = (-15 * 6 + -5x * 6) + -8x -90 + -20x = (-90 + -30x) + -8x Combine like terms: -30x + -8x = -38x -90 + -20x = -90 + -38x Add '90' to each side of the equation. -90 + 90 + -20x = -90 + 90 + -38x Combine like terms: -90 + 90 = 0 0 + -20x = -90 + 90 + -38x -20x = -90 + 90 + -38x Combine like terms: -90 + 90 = 0 -20x = 0 + -38x -20x = -38x Solving -20x = -38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38x' to each side of the equation. -20x + 38x = -38x + 38x Combine like terms: -20x + 38x = 18x 18x = -38x + 38x Combine like terms: -38x + 38x = 0 18x = 0 Divide each side by '18'. x = 0 Simplifying x = 0
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