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Simplifying 4x + -2(2x + -5) = 2 + -3(x + -4) Reorder the terms: 4x + -2(-5 + 2x) = 2 + -3(x + -4) 4x + (-5 * -2 + 2x * -2) = 2 + -3(x + -4) 4x + (10 + -4x) = 2 + -3(x + -4) Reorder the terms: 10 + 4x + -4x = 2 + -3(x + -4) Combine like terms: 4x + -4x = 0 10 + 0 = 2 + -3(x + -4) 10 = 2 + -3(x + -4) Reorder the terms: 10 = 2 + -3(-4 + x) 10 = 2 + (-4 * -3 + x * -3) 10 = 2 + (12 + -3x) Combine like terms: 2 + 12 = 14 10 = 14 + -3x Solving 10 = 14 + -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. 10 + 3x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 3x = 14 + 0 10 + 3x = 14 Add '-10' to each side of the equation. 10 + -10 + 3x = 14 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 14 + -10 3x = 14 + -10 Combine like terms: 14 + -10 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333
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