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Simplifying 2(2x + 5) + 20 = 3(x + -5) + -25 Reorder the terms: 2(5 + 2x) + 20 = 3(x + -5) + -25 (5 * 2 + 2x * 2) + 20 = 3(x + -5) + -25 (10 + 4x) + 20 = 3(x + -5) + -25 Reorder the terms: 10 + 20 + 4x = 3(x + -5) + -25 Combine like terms: 10 + 20 = 30 30 + 4x = 3(x + -5) + -25 Reorder the terms: 30 + 4x = 3(-5 + x) + -25 30 + 4x = (-5 * 3 + x * 3) + -25 30 + 4x = (-15 + 3x) + -25 Reorder the terms: 30 + 4x = -15 + -25 + 3x Combine like terms: -15 + -25 = -40 30 + 4x = -40 + 3x Solving 30 + 4x = -40 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 30 + 4x + -3x = -40 + 3x + -3x Combine like terms: 4x + -3x = 1x 30 + 1x = -40 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + 1x = -40 + 0 30 + 1x = -40 Add '-30' to each side of the equation. 30 + -30 + 1x = -40 + -30 Combine like terms: 30 + -30 = 0 0 + 1x = -40 + -30 1x = -40 + -30 Combine like terms: -40 + -30 = -70 1x = -70 Divide each side by '1'. x = -70 Simplifying x = -70
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