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Simplifying 6(4x + -5) + -4(2x + -15) = 15x + 9 Reorder the terms: 6(-5 + 4x) + -4(2x + -15) = 15x + 9 (-5 * 6 + 4x * 6) + -4(2x + -15) = 15x + 9 (-30 + 24x) + -4(2x + -15) = 15x + 9 Reorder the terms: -30 + 24x + -4(-15 + 2x) = 15x + 9 -30 + 24x + (-15 * -4 + 2x * -4) = 15x + 9 -30 + 24x + (60 + -8x) = 15x + 9 Reorder the terms: -30 + 60 + 24x + -8x = 15x + 9 Combine like terms: -30 + 60 = 30 30 + 24x + -8x = 15x + 9 Combine like terms: 24x + -8x = 16x 30 + 16x = 15x + 9 Reorder the terms: 30 + 16x = 9 + 15x Solving 30 + 16x = 9 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 30 + 16x + -15x = 9 + 15x + -15x Combine like terms: 16x + -15x = 1x 30 + 1x = 9 + 15x + -15x Combine like terms: 15x + -15x = 0 30 + 1x = 9 + 0 30 + 1x = 9 Add '-30' to each side of the equation. 30 + -30 + 1x = 9 + -30 Combine like terms: 30 + -30 = 0 0 + 1x = 9 + -30 1x = 9 + -30 Combine like terms: 9 + -30 = -21 1x = -21 Divide each side by '1'. x = -21 Simplifying x = -21
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