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Simplifying 9(x + -15) = 6(x + -10) + 10 Reorder the terms: 9(-15 + x) = 6(x + -10) + 10 (-15 * 9 + x * 9) = 6(x + -10) + 10 (-135 + 9x) = 6(x + -10) + 10 Reorder the terms: -135 + 9x = 6(-10 + x) + 10 -135 + 9x = (-10 * 6 + x * 6) + 10 -135 + 9x = (-60 + 6x) + 10 Reorder the terms: -135 + 9x = -60 + 10 + 6x Combine like terms: -60 + 10 = -50 -135 + 9x = -50 + 6x Solving -135 + 9x = -50 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -135 + 9x + -6x = -50 + 6x + -6x Combine like terms: 9x + -6x = 3x -135 + 3x = -50 + 6x + -6x Combine like terms: 6x + -6x = 0 -135 + 3x = -50 + 0 -135 + 3x = -50 Add '135' to each side of the equation. -135 + 135 + 3x = -50 + 135 Combine like terms: -135 + 135 = 0 0 + 3x = -50 + 135 3x = -50 + 135 Combine like terms: -50 + 135 = 85 3x = 85 Divide each side by '3'. x = 28.33333333 Simplifying x = 28.33333333
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