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Simplifying 3(2x + -3) + -9 = 7 + -1(4x + -5) Reorder the terms: 3(-3 + 2x) + -9 = 7 + -1(4x + -5) (-3 * 3 + 2x * 3) + -9 = 7 + -1(4x + -5) (-9 + 6x) + -9 = 7 + -1(4x + -5) Reorder the terms: -9 + -9 + 6x = 7 + -1(4x + -5) Combine like terms: -9 + -9 = -18 -18 + 6x = 7 + -1(4x + -5) Reorder the terms: -18 + 6x = 7 + -1(-5 + 4x) -18 + 6x = 7 + (-5 * -1 + 4x * -1) -18 + 6x = 7 + (5 + -4x) Combine like terms: 7 + 5 = 12 -18 + 6x = 12 + -4x Solving -18 + 6x = 12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -18 + 6x + 4x = 12 + -4x + 4x Combine like terms: 6x + 4x = 10x -18 + 10x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -18 + 10x = 12 + 0 -18 + 10x = 12 Add '18' to each side of the equation. -18 + 18 + 10x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 10x = 12 + 18 10x = 12 + 18 Combine like terms: 12 + 18 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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