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Simplifying 6(4x + -4) = 5(3x + -16) Reorder the terms: 6(-4 + 4x) = 5(3x + -16) (-4 * 6 + 4x * 6) = 5(3x + -16) (-24 + 24x) = 5(3x + -16) Reorder the terms: -24 + 24x = 5(-16 + 3x) -24 + 24x = (-16 * 5 + 3x * 5) -24 + 24x = (-80 + 15x) Solving -24 + 24x = -80 + 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. -24 + 24x + -15x = -80 + 15x + -15x Combine like terms: 24x + -15x = 9x -24 + 9x = -80 + 15x + -15x Combine like terms: 15x + -15x = 0 -24 + 9x = -80 + 0 -24 + 9x = -80 Add '24' to each side of the equation. -24 + 24 + 9x = -80 + 24 Combine like terms: -24 + 24 = 0 0 + 9x = -80 + 24 9x = -80 + 24 Combine like terms: -80 + 24 = -56 9x = -56 Divide each side by '9'. x = -6.222222222 Simplifying x = -6.222222222
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