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Simplifying 2(x + 3) + 8 + 5(x + -2) + 4x + 3 = 0 Reorder the terms: 2(3 + x) + 8 + 5(x + -2) + 4x + 3 = 0 (3 * 2 + x * 2) + 8 + 5(x + -2) + 4x + 3 = 0 (6 + 2x) + 8 + 5(x + -2) + 4x + 3 = 0 Reorder the terms: 6 + 2x + 8 + 5(-2 + x) + 4x + 3 = 0 6 + 2x + 8 + (-2 * 5 + x * 5) + 4x + 3 = 0 6 + 2x + 8 + (-10 + 5x) + 4x + 3 = 0 Reorder the terms: 6 + 8 + -10 + 3 + 2x + 5x + 4x = 0 Combine like terms: 6 + 8 = 14 14 + -10 + 3 + 2x + 5x + 4x = 0 Combine like terms: 14 + -10 = 4 4 + 3 + 2x + 5x + 4x = 0 Combine like terms: 4 + 3 = 7 7 + 2x + 5x + 4x = 0 Combine like terms: 2x + 5x = 7x 7 + 7x + 4x = 0 Combine like terms: 7x + 4x = 11x 7 + 11x = 0 Solving 7 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 11x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 11x = 0 + -7 11x = 0 + -7 Combine like terms: 0 + -7 = -7 11x = -7 Divide each side by '11'. x = -0.6363636364 Simplifying x = -0.6363636364
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