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Simplifying (4x + -3) + -1(3x + -2) = 30 Reorder the terms: (-3 + 4x) + -1(3x + -2) = 30 Remove parenthesis around (-3 + 4x) -3 + 4x + -1(3x + -2) = 30 Reorder the terms: -3 + 4x + -1(-2 + 3x) = 30 -3 + 4x + (-2 * -1 + 3x * -1) = 30 -3 + 4x + (2 + -3x) = 30 Reorder the terms: -3 + 2 + 4x + -3x = 30 Combine like terms: -3 + 2 = -1 -1 + 4x + -3x = 30 Combine like terms: 4x + -3x = 1x -1 + 1x = 30 Solving -1 + 1x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 1x = 30 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 30 + 1 1x = 30 + 1 Combine like terms: 30 + 1 = 31 1x = 31 Divide each side by '1'. x = 31 Simplifying x = 31
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