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Simplifying 6(2x + -7) + -3 = 6(x + -3) + 9 Reorder the terms: 6(-7 + 2x) + -3 = 6(x + -3) + 9 (-7 * 6 + 2x * 6) + -3 = 6(x + -3) + 9 (-42 + 12x) + -3 = 6(x + -3) + 9 Reorder the terms: -42 + -3 + 12x = 6(x + -3) + 9 Combine like terms: -42 + -3 = -45 -45 + 12x = 6(x + -3) + 9 Reorder the terms: -45 + 12x = 6(-3 + x) + 9 -45 + 12x = (-3 * 6 + x * 6) + 9 -45 + 12x = (-18 + 6x) + 9 Reorder the terms: -45 + 12x = -18 + 9 + 6x Combine like terms: -18 + 9 = -9 -45 + 12x = -9 + 6x Solving -45 + 12x = -9 + 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. -45 + 12x + -6x = -9 + 6x + -6x Combine like terms: 12x + -6x = 6x -45 + 6x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 -45 + 6x = -9 + 0 -45 + 6x = -9 Add '45' to each side of the equation. -45 + 45 + 6x = -9 + 45 Combine like terms: -45 + 45 = 0 0 + 6x = -9 + 45 6x = -9 + 45 Combine like terms: -9 + 45 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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