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Simplifying 4(x + -5) = 2 + -2(1 + -3x) Reorder the terms: 4(-5 + x) = 2 + -2(1 + -3x) (-5 * 4 + x * 4) = 2 + -2(1 + -3x) (-20 + 4x) = 2 + -2(1 + -3x) -20 + 4x = 2 + (1 * -2 + -3x * -2) -20 + 4x = 2 + (-2 + 6x) Combine like terms: 2 + -2 = 0 -20 + 4x = 0 + 6x -20 + 4x = 6x Solving -20 + 4x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -20 + 4x + -6x = 6x + -6x Combine like terms: 4x + -6x = -2x -20 + -2x = 6x + -6x Combine like terms: 6x + -6x = 0 -20 + -2x = 0 Add '20' to each side of the equation. -20 + 20 + -2x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = 0 + 20 -2x = 0 + 20 Combine like terms: 0 + 20 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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