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Simplifying 3 + -4x + (2x + -3) = 2(3x + 4) + 1 Reorder the terms: 3 + -4x + (-3 + 2x) = 2(3x + 4) + 1 Remove parenthesis around (-3 + 2x) 3 + -4x + -3 + 2x = 2(3x + 4) + 1 Reorder the terms: 3 + -3 + -4x + 2x = 2(3x + 4) + 1 Combine like terms: 3 + -3 = 0 0 + -4x + 2x = 2(3x + 4) + 1 -4x + 2x = 2(3x + 4) + 1 Combine like terms: -4x + 2x = -2x -2x = 2(3x + 4) + 1 Reorder the terms: -2x = 2(4 + 3x) + 1 -2x = (4 * 2 + 3x * 2) + 1 -2x = (8 + 6x) + 1 Reorder the terms: -2x = 8 + 1 + 6x Combine like terms: 8 + 1 = 9 -2x = 9 + 6x Solving -2x = 9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2x + -6x = 9 + 6x + -6x Combine like terms: -2x + -6x = -8x -8x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -8x = 9 + 0 -8x = 9 Divide each side by '-8'. x = -1.125 Simplifying x = -1.125
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