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Simplifying 3x + -5(3 + 2x) = 6x + -2 3x + (3 * -5 + 2x * -5) = 6x + -2 3x + (-15 + -10x) = 6x + -2 Reorder the terms: -15 + 3x + -10x = 6x + -2 Combine like terms: 3x + -10x = -7x -15 + -7x = 6x + -2 Reorder the terms: -15 + -7x = -2 + 6x Solving -15 + -7x = -2 + 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. -15 + -7x + -6x = -2 + 6x + -6x Combine like terms: -7x + -6x = -13x -15 + -13x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + -13x = -2 + 0 -15 + -13x = -2 Add '15' to each side of the equation. -15 + 15 + -13x = -2 + 15 Combine like terms: -15 + 15 = 0 0 + -13x = -2 + 15 -13x = -2 + 15 Combine like terms: -2 + 15 = 13 -13x = 13 Divide each side by '-13'. x = -1 Simplifying x = -1
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