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Simplifying 30 + -2(10 + -3x) = 4x + 3(3x + -20) 30 + (10 * -2 + -3x * -2) = 4x + 3(3x + -20) 30 + (-20 + 6x) = 4x + 3(3x + -20) Combine like terms: 30 + -20 = 10 10 + 6x = 4x + 3(3x + -20) Reorder the terms: 10 + 6x = 4x + 3(-20 + 3x) 10 + 6x = 4x + (-20 * 3 + 3x * 3) 10 + 6x = 4x + (-60 + 9x) Reorder the terms: 10 + 6x = -60 + 4x + 9x Combine like terms: 4x + 9x = 13x 10 + 6x = -60 + 13x Solving 10 + 6x = -60 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 10 + 6x + -13x = -60 + 13x + -13x Combine like terms: 6x + -13x = -7x 10 + -7x = -60 + 13x + -13x Combine like terms: 13x + -13x = 0 10 + -7x = -60 + 0 10 + -7x = -60 Add '-10' to each side of the equation. 10 + -10 + -7x = -60 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = -60 + -10 -7x = -60 + -10 Combine like terms: -60 + -10 = -70 -7x = -70 Divide each side by '-7'. x = 10 Simplifying x = 10
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