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Simplifying [3 + -2(5 + 3x) + 14] + 4x = 0 [3 + (5 * -2 + 3x * -2) + 14] + 4x = 0 [3 + (-10 + -6x) + 14] + 4x = 0 Reorder the terms: [3 + -10 + 14 + -6x] + 4x = 0 Combine like terms: 3 + -10 = -7 [-7 + 14 + -6x] + 4x = 0 Combine like terms: -7 + 14 = 7 [7 + -6x] + 4x = 0 Remove brackets around [7 + -6x] 7 + -6x + 4x = 0 Combine like terms: -6x + 4x = -2x 7 + -2x = 0 Solving 7 + -2x = 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 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5
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