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Simplifying 4x(2 + -1) + (-2)(x + -5) = -1(3x + 2) Combine like terms: 2 + -1 = 1 4x(1) + (-2)(x + -5) = -1(3x + 2) Reorder the terms for easier multiplication: 4 * 1x + (-2)(x + -5) = -1(3x + 2) Multiply 4 * 1 4x + (-2)(x + -5) = -1(3x + 2) Reorder the terms: 4x + -2(-5 + x) = -1(3x + 2) 4x + (-5 * -2 + x * -2) = -1(3x + 2) 4x + (10 + -2x) = -1(3x + 2) Reorder the terms: 10 + 4x + -2x = -1(3x + 2) Combine like terms: 4x + -2x = 2x 10 + 2x = -1(3x + 2) Reorder the terms: 10 + 2x = -1(2 + 3x) 10 + 2x = (2 * -1 + 3x * -1) 10 + 2x = (-2 + -3x) Solving 10 + 2x = -2 + -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 + 2x + 3x = -2 + -3x + 3x Combine like terms: 2x + 3x = 5x 10 + 5x = -2 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 5x = -2 + 0 10 + 5x = -2 Add '-10' to each side of the equation. 10 + -10 + 5x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = -2 + -10 5x = -2 + -10 Combine like terms: -2 + -10 = -12 5x = -12 Divide each side by '5'. x = -2.4 Simplifying x = -2.4
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