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Simplifying (4x + 20) + -3(2x + 10) + 3(x + 5) = 0 Reorder the terms: (20 + 4x) + -3(2x + 10) + 3(x + 5) = 0 Remove parenthesis around (20 + 4x) 20 + 4x + -3(2x + 10) + 3(x + 5) = 0 Reorder the terms: 20 + 4x + -3(10 + 2x) + 3(x + 5) = 0 20 + 4x + (10 * -3 + 2x * -3) + 3(x + 5) = 0 20 + 4x + (-30 + -6x) + 3(x + 5) = 0 Reorder the terms: 20 + 4x + -30 + -6x + 3(5 + x) = 0 20 + 4x + -30 + -6x + (5 * 3 + x * 3) = 0 20 + 4x + -30 + -6x + (15 + 3x) = 0 Reorder the terms: 20 + -30 + 15 + 4x + -6x + 3x = 0 Combine like terms: 20 + -30 = -10 -10 + 15 + 4x + -6x + 3x = 0 Combine like terms: -10 + 15 = 5 5 + 4x + -6x + 3x = 0 Combine like terms: 4x + -6x = -2x 5 + -2x + 3x = 0 Combine like terms: -2x + 3x = 1x 5 + 1x = 0 Solving 5 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 0 + -5 1x = 0 + -5 Combine like terms: 0 + -5 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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