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Simplifying 6x + 5(3x + -6) = -6 + -3x Reorder the terms: 6x + 5(-6 + 3x) = -6 + -3x 6x + (-6 * 5 + 3x * 5) = -6 + -3x 6x + (-30 + 15x) = -6 + -3x Reorder the terms: -30 + 6x + 15x = -6 + -3x Combine like terms: 6x + 15x = 21x -30 + 21x = -6 + -3x Solving -30 + 21x = -6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -30 + 21x + 3x = -6 + -3x + 3x Combine like terms: 21x + 3x = 24x -30 + 24x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 -30 + 24x = -6 + 0 -30 + 24x = -6 Add '30' to each side of the equation. -30 + 30 + 24x = -6 + 30 Combine like terms: -30 + 30 = 0 0 + 24x = -6 + 30 24x = -6 + 30 Combine like terms: -6 + 30 = 24 24x = 24 Divide each side by '24'. x = 1 Simplifying x = 1
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