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Simplifying (2x + 1) + -3(5 + -3x) + 4(-2x + 4) + -3x = 2x Reorder the terms: (1 + 2x) + -3(5 + -3x) + 4(-2x + 4) + -3x = 2x Remove parenthesis around (1 + 2x) 1 + 2x + -3(5 + -3x) + 4(-2x + 4) + -3x = 2x 1 + 2x + (5 * -3 + -3x * -3) + 4(-2x + 4) + -3x = 2x 1 + 2x + (-15 + 9x) + 4(-2x + 4) + -3x = 2x Reorder the terms: 1 + 2x + -15 + 9x + 4(4 + -2x) + -3x = 2x 1 + 2x + -15 + 9x + (4 * 4 + -2x * 4) + -3x = 2x 1 + 2x + -15 + 9x + (16 + -8x) + -3x = 2x Reorder the terms: 1 + -15 + 16 + 2x + 9x + -8x + -3x = 2x Combine like terms: 1 + -15 = -14 -14 + 16 + 2x + 9x + -8x + -3x = 2x Combine like terms: -14 + 16 = 2 2 + 2x + 9x + -8x + -3x = 2x Combine like terms: 2x + 9x = 11x 2 + 11x + -8x + -3x = 2x Combine like terms: 11x + -8x = 3x 2 + 3x + -3x = 2x Combine like terms: 3x + -3x = 0 2 + 0 = 2x 2 = 2x Solving 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. 2 + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 2 + -2x = 0 Add '-2' to each side of the equation. 2 + -2 + -2x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 0 + -2 -2x = 0 + -2 Combine like terms: 0 + -2 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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