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Simplifying 2x(3 + -2) + 7 + -2(x + 3x) + 10 + 2x = -11 Combine like terms: 3 + -2 = 1 2x(1) + 7 + -2(x + 3x) + 10 + 2x = -11 Reorder the terms for easier multiplication: 2 * 1x + 7 + -2(x + 3x) + 10 + 2x = -11 Multiply 2 * 1 2x + 7 + -2(x + 3x) + 10 + 2x = -11 Combine like terms: x + 3x = 4x 2x + 7 + -2(4x) + 10 + 2x = -11 Remove parenthesis around (4x) 2x + 7 + -2 * 4x + 10 + 2x = -11 Multiply -2 * 4 2x + 7 + -8x + 10 + 2x = -11 Reorder the terms: 7 + 10 + 2x + -8x + 2x = -11 Combine like terms: 7 + 10 = 17 17 + 2x + -8x + 2x = -11 Combine like terms: 2x + -8x = -6x 17 + -6x + 2x = -11 Combine like terms: -6x + 2x = -4x 17 + -4x = -11 Solving 17 + -4x = -11 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 + -4x = -11 + -17 Combine like terms: 17 + -17 = 0 0 + -4x = -11 + -17 -4x = -11 + -17 Combine like terms: -11 + -17 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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