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Simplifying 7x + 3(-2x + -3) = -6 + -2x Reorder the terms: 7x + 3(-3 + -2x) = -6 + -2x 7x + (-3 * 3 + -2x * 3) = -6 + -2x 7x + (-9 + -6x) = -6 + -2x Reorder the terms: -9 + 7x + -6x = -6 + -2x Combine like terms: 7x + -6x = 1x -9 + 1x = -6 + -2x Solving -9 + 1x = -6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -9 + 1x + 2x = -6 + -2x + 2x Combine like terms: 1x + 2x = 3x -9 + 3x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 -9 + 3x = -6 + 0 -9 + 3x = -6 Add '9' to each side of the equation. -9 + 9 + 3x = -6 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = -6 + 9 3x = -6 + 9 Combine like terms: -6 + 9 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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