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Simplifying 2x + -1(x + 1) = -4 + 3(x + -3) Reorder the terms: 2x + -1(1 + x) = -4 + 3(x + -3) 2x + (1 * -1 + x * -1) = -4 + 3(x + -3) 2x + (-1 + -1x) = -4 + 3(x + -3) Reorder the terms: -1 + 2x + -1x = -4 + 3(x + -3) Combine like terms: 2x + -1x = 1x -1 + 1x = -4 + 3(x + -3) Reorder the terms: -1 + 1x = -4 + 3(-3 + x) -1 + 1x = -4 + (-3 * 3 + x * 3) -1 + 1x = -4 + (-9 + 3x) Combine like terms: -4 + -9 = -13 -1 + 1x = -13 + 3x Solving -1 + 1x = -13 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1 + 1x + -3x = -13 + 3x + -3x Combine like terms: 1x + -3x = -2x -1 + -2x = -13 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -2x = -13 + 0 -1 + -2x = -13 Add '1' to each side of the equation. -1 + 1 + -2x = -13 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = -13 + 1 -2x = -13 + 1 Combine like terms: -13 + 1 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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