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Simplifying 5x + 4(x + -5) = 6x + 2x + -15 Reorder the terms: 5x + 4(-5 + x) = 6x + 2x + -15 5x + (-5 * 4 + x * 4) = 6x + 2x + -15 5x + (-20 + 4x) = 6x + 2x + -15 Reorder the terms: -20 + 5x + 4x = 6x + 2x + -15 Combine like terms: 5x + 4x = 9x -20 + 9x = 6x + 2x + -15 Reorder the terms: -20 + 9x = -15 + 6x + 2x Combine like terms: 6x + 2x = 8x -20 + 9x = -15 + 8x Solving -20 + 9x = -15 + 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. -20 + 9x + -8x = -15 + 8x + -8x Combine like terms: 9x + -8x = 1x -20 + 1x = -15 + 8x + -8x Combine like terms: 8x + -8x = 0 -20 + 1x = -15 + 0 -20 + 1x = -15 Add '20' to each side of the equation. -20 + 20 + 1x = -15 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = -15 + 20 1x = -15 + 20 Combine like terms: -15 + 20 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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