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Simplifying 3(2x + -7) + x = 2(x + -9) + -18 Reorder the terms: 3(-7 + 2x) + x = 2(x + -9) + -18 (-7 * 3 + 2x * 3) + x = 2(x + -9) + -18 (-21 + 6x) + x = 2(x + -9) + -18 Combine like terms: 6x + x = 7x -21 + 7x = 2(x + -9) + -18 Reorder the terms: -21 + 7x = 2(-9 + x) + -18 -21 + 7x = (-9 * 2 + x * 2) + -18 -21 + 7x = (-18 + 2x) + -18 Reorder the terms: -21 + 7x = -18 + -18 + 2x Combine like terms: -18 + -18 = -36 -21 + 7x = -36 + 2x Solving -21 + 7x = -36 + 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. -21 + 7x + -2x = -36 + 2x + -2x Combine like terms: 7x + -2x = 5x -21 + 5x = -36 + 2x + -2x Combine like terms: 2x + -2x = 0 -21 + 5x = -36 + 0 -21 + 5x = -36 Add '21' to each side of the equation. -21 + 21 + 5x = -36 + 21 Combine like terms: -21 + 21 = 0 0 + 5x = -36 + 21 5x = -36 + 21 Combine like terms: -36 + 21 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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