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Simplifying 2x + -8 + 2(3 + 2x) = 10 + -3(3x + -11) 2x + -8 + (3 * 2 + 2x * 2) = 10 + -3(3x + -11) 2x + -8 + (6 + 4x) = 10 + -3(3x + -11) Reorder the terms: -8 + 6 + 2x + 4x = 10 + -3(3x + -11) Combine like terms: -8 + 6 = -2 -2 + 2x + 4x = 10 + -3(3x + -11) Combine like terms: 2x + 4x = 6x -2 + 6x = 10 + -3(3x + -11) Reorder the terms: -2 + 6x = 10 + -3(-11 + 3x) -2 + 6x = 10 + (-11 * -3 + 3x * -3) -2 + 6x = 10 + (33 + -9x) Combine like terms: 10 + 33 = 43 -2 + 6x = 43 + -9x Solving -2 + 6x = 43 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -2 + 6x + 9x = 43 + -9x + 9x Combine like terms: 6x + 9x = 15x -2 + 15x = 43 + -9x + 9x Combine like terms: -9x + 9x = 0 -2 + 15x = 43 + 0 -2 + 15x = 43 Add '2' to each side of the equation. -2 + 2 + 15x = 43 + 2 Combine like terms: -2 + 2 = 0 0 + 15x = 43 + 2 15x = 43 + 2 Combine like terms: 43 + 2 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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