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Simplifying (2x + -3) + (3x + -7) * 2 = 10 Reorder the terms: (-3 + 2x) + (3x + -7) * 2 = 10 Remove parenthesis around (-3 + 2x) -3 + 2x + (3x + -7) * 2 = 10 Reorder the terms: -3 + 2x + (-7 + 3x) * 2 = 10 Reorder the terms for easier multiplication: -3 + 2x + 2(-7 + 3x) = 10 -3 + 2x + (-7 * 2 + 3x * 2) = 10 -3 + 2x + (-14 + 6x) = 10 Reorder the terms: -3 + -14 + 2x + 6x = 10 Combine like terms: -3 + -14 = -17 -17 + 2x + 6x = 10 Combine like terms: 2x + 6x = 8x -17 + 8x = 10 Solving -17 + 8x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 8x = 10 + 17 Combine like terms: -17 + 17 = 0 0 + 8x = 10 + 17 8x = 10 + 17 Combine like terms: 10 + 17 = 27 8x = 27 Divide each side by '8'. x = 3.375 Simplifying x = 3.375
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