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Simplifying 4 + -1(2x + 3) = 4(x + -5) Reorder the terms: 4 + -1(3 + 2x) = 4(x + -5) 4 + (3 * -1 + 2x * -1) = 4(x + -5) 4 + (-3 + -2x) = 4(x + -5) Combine like terms: 4 + -3 = 1 1 + -2x = 4(x + -5) Reorder the terms: 1 + -2x = 4(-5 + x) 1 + -2x = (-5 * 4 + x * 4) 1 + -2x = (-20 + 4x) Solving 1 + -2x = -20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + -2x + -4x = -20 + 4x + -4x Combine like terms: -2x + -4x = -6x 1 + -6x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + -6x = -20 + 0 1 + -6x = -20 Add '-1' to each side of the equation. 1 + -1 + -6x = -20 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = -20 + -1 -6x = -20 + -1 Combine like terms: -20 + -1 = -21 -6x = -21 Divide each side by '-6'. x = 3.5 Simplifying x = 3.5
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