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Simplifying 3(-1x + -3) = 4x + -2(3x + 1) Reorder the terms: 3(-3 + -1x) = 4x + -2(3x + 1) (-3 * 3 + -1x * 3) = 4x + -2(3x + 1) (-9 + -3x) = 4x + -2(3x + 1) Reorder the terms: -9 + -3x = 4x + -2(1 + 3x) -9 + -3x = 4x + (1 * -2 + 3x * -2) -9 + -3x = 4x + (-2 + -6x) Reorder the terms: -9 + -3x = -2 + 4x + -6x Combine like terms: 4x + -6x = -2x -9 + -3x = -2 + -2x Solving -9 + -3x = -2 + -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 + -3x + 2x = -2 + -2x + 2x Combine like terms: -3x + 2x = -1x -9 + -1x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 -9 + -1x = -2 + 0 -9 + -1x = -2 Add '9' to each side of the equation. -9 + 9 + -1x = -2 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = -2 + 9 -1x = -2 + 9 Combine like terms: -2 + 9 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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