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Simplifying 3(-1x + -3) + 2 = 4x + -2(3x + 1) Reorder the terms: 3(-3 + -1x) + 2 = 4x + -2(3x + 1) (-3 * 3 + -1x * 3) + 2 = 4x + -2(3x + 1) (-9 + -3x) + 2 = 4x + -2(3x + 1) Reorder the terms: -9 + 2 + -3x = 4x + -2(3x + 1) Combine like terms: -9 + 2 = -7 -7 + -3x = 4x + -2(3x + 1) Reorder the terms: -7 + -3x = 4x + -2(1 + 3x) -7 + -3x = 4x + (1 * -2 + 3x * -2) -7 + -3x = 4x + (-2 + -6x) Reorder the terms: -7 + -3x = -2 + 4x + -6x Combine like terms: 4x + -6x = -2x -7 + -3x = -2 + -2x Solving -7 + -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. -7 + -3x + 2x = -2 + -2x + 2x Combine like terms: -3x + 2x = -1x -7 + -1x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + -1x = -2 + 0 -7 + -1x = -2 Add '7' to each side of the equation. -7 + 7 + -1x = -2 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = -2 + 7 -1x = -2 + 7 Combine like terms: -2 + 7 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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