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Simplifying 3x + 3(-2x + -6) = -15 + -6x Reorder the terms: 3x + 3(-6 + -2x) = -15 + -6x 3x + (-6 * 3 + -2x * 3) = -15 + -6x 3x + (-18 + -6x) = -15 + -6x Reorder the terms: -18 + 3x + -6x = -15 + -6x Combine like terms: 3x + -6x = -3x -18 + -3x = -15 + -6x Solving -18 + -3x = -15 + -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. -18 + -3x + 6x = -15 + -6x + 6x Combine like terms: -3x + 6x = 3x -18 + 3x = -15 + -6x + 6x Combine like terms: -6x + 6x = 0 -18 + 3x = -15 + 0 -18 + 3x = -15 Add '18' to each side of the equation. -18 + 18 + 3x = -15 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = -15 + 18 3x = -15 + 18 Combine like terms: -15 + 18 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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