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Simplifying 4(x + -5) = 7 + -5(3 + -2x) Reorder the terms: 4(-5 + x) = 7 + -5(3 + -2x) (-5 * 4 + x * 4) = 7 + -5(3 + -2x) (-20 + 4x) = 7 + -5(3 + -2x) -20 + 4x = 7 + (3 * -5 + -2x * -5) -20 + 4x = 7 + (-15 + 10x) Combine like terms: 7 + -15 = -8 -20 + 4x = -8 + 10x Solving -20 + 4x = -8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -20 + 4x + -10x = -8 + 10x + -10x Combine like terms: 4x + -10x = -6x -20 + -6x = -8 + 10x + -10x Combine like terms: 10x + -10x = 0 -20 + -6x = -8 + 0 -20 + -6x = -8 Add '20' to each side of the equation. -20 + 20 + -6x = -8 + 20 Combine like terms: -20 + 20 = 0 0 + -6x = -8 + 20 -6x = -8 + 20 Combine like terms: -8 + 20 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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