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Simplifying 5 + 2(3 + -2x) = 5x + 2(3x + -2) 5 + (3 * 2 + -2x * 2) = 5x + 2(3x + -2) 5 + (6 + -4x) = 5x + 2(3x + -2) Combine like terms: 5 + 6 = 11 11 + -4x = 5x + 2(3x + -2) Reorder the terms: 11 + -4x = 5x + 2(-2 + 3x) 11 + -4x = 5x + (-2 * 2 + 3x * 2) 11 + -4x = 5x + (-4 + 6x) Reorder the terms: 11 + -4x = -4 + 5x + 6x Combine like terms: 5x + 6x = 11x 11 + -4x = -4 + 11x Solving 11 + -4x = -4 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 11 + -4x + -11x = -4 + 11x + -11x Combine like terms: -4x + -11x = -15x 11 + -15x = -4 + 11x + -11x Combine like terms: 11x + -11x = 0 11 + -15x = -4 + 0 11 + -15x = -4 Add '-11' to each side of the equation. 11 + -11 + -15x = -4 + -11 Combine like terms: 11 + -11 = 0 0 + -15x = -4 + -11 -15x = -4 + -11 Combine like terms: -4 + -11 = -15 -15x = -15 Divide each side by '-15'. x = 1 Simplifying x = 1
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