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Simplifying 20 + -2(2x + -7) = 3(4x + 10) Reorder the terms: 20 + -2(-7 + 2x) = 3(4x + 10) 20 + (-7 * -2 + 2x * -2) = 3(4x + 10) 20 + (14 + -4x) = 3(4x + 10) Combine like terms: 20 + 14 = 34 34 + -4x = 3(4x + 10) Reorder the terms: 34 + -4x = 3(10 + 4x) 34 + -4x = (10 * 3 + 4x * 3) 34 + -4x = (30 + 12x) Solving 34 + -4x = 30 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 34 + -4x + -12x = 30 + 12x + -12x Combine like terms: -4x + -12x = -16x 34 + -16x = 30 + 12x + -12x Combine like terms: 12x + -12x = 0 34 + -16x = 30 + 0 34 + -16x = 30 Add '-34' to each side of the equation. 34 + -34 + -16x = 30 + -34 Combine like terms: 34 + -34 = 0 0 + -16x = 30 + -34 -16x = 30 + -34 Combine like terms: 30 + -34 = -4 -16x = -4 Divide each side by '-16'. x = 0.25 Simplifying x = 0.25
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