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Simplifying 4(x + -5) = 10(x + -5) Reorder the terms: 4(-5 + x) = 10(x + -5) (-5 * 4 + x * 4) = 10(x + -5) (-20 + 4x) = 10(x + -5) Reorder the terms: -20 + 4x = 10(-5 + x) -20 + 4x = (-5 * 10 + x * 10) -20 + 4x = (-50 + 10x) Solving -20 + 4x = -50 + 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 = -50 + 10x + -10x Combine like terms: 4x + -10x = -6x -20 + -6x = -50 + 10x + -10x Combine like terms: 10x + -10x = 0 -20 + -6x = -50 + 0 -20 + -6x = -50 Add '20' to each side of the equation. -20 + 20 + -6x = -50 + 20 Combine like terms: -20 + 20 = 0 0 + -6x = -50 + 20 -6x = -50 + 20 Combine like terms: -50 + 20 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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