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Simplifying 5(x + -4) + (x + -5) = 10 + 16(x + -10) Reorder the terms: 5(-4 + x) + (x + -5) = 10 + 16(x + -10) (-4 * 5 + x * 5) + (x + -5) = 10 + 16(x + -10) (-20 + 5x) + (x + -5) = 10 + 16(x + -10) Reorder the terms: -20 + 5x + (-5 + x) = 10 + 16(x + -10) Remove parenthesis around (-5 + x) -20 + 5x + -5 + x = 10 + 16(x + -10) Reorder the terms: -20 + -5 + 5x + x = 10 + 16(x + -10) Combine like terms: -20 + -5 = -25 -25 + 5x + x = 10 + 16(x + -10) Combine like terms: 5x + x = 6x -25 + 6x = 10 + 16(x + -10) Reorder the terms: -25 + 6x = 10 + 16(-10 + x) -25 + 6x = 10 + (-10 * 16 + x * 16) -25 + 6x = 10 + (-160 + 16x) Combine like terms: 10 + -160 = -150 -25 + 6x = -150 + 16x Solving -25 + 6x = -150 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -25 + 6x + -16x = -150 + 16x + -16x Combine like terms: 6x + -16x = -10x -25 + -10x = -150 + 16x + -16x Combine like terms: 16x + -16x = 0 -25 + -10x = -150 + 0 -25 + -10x = -150 Add '25' to each side of the equation. -25 + 25 + -10x = -150 + 25 Combine like terms: -25 + 25 = 0 0 + -10x = -150 + 25 -10x = -150 + 25 Combine like terms: -150 + 25 = -125 -10x = -125 Divide each side by '-10'. x = 12.5 Simplifying x = 12.5
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