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Simplifying 6x + 5(-3x + -2) = -15 + -4x Reorder the terms: 6x + 5(-2 + -3x) = -15 + -4x 6x + (-2 * 5 + -3x * 5) = -15 + -4x 6x + (-10 + -15x) = -15 + -4x Reorder the terms: -10 + 6x + -15x = -15 + -4x Combine like terms: 6x + -15x = -9x -10 + -9x = -15 + -4x Solving -10 + -9x = -15 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -10 + -9x + 4x = -15 + -4x + 4x Combine like terms: -9x + 4x = -5x -10 + -5x = -15 + -4x + 4x Combine like terms: -4x + 4x = 0 -10 + -5x = -15 + 0 -10 + -5x = -15 Add '10' to each side of the equation. -10 + 10 + -5x = -15 + 10 Combine like terms: -10 + 10 = 0 0 + -5x = -15 + 10 -5x = -15 + 10 Combine like terms: -15 + 10 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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