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Simplifying 5 + (x + -5) + (x + -4) = 10 + 16(x + -10) Reorder the terms: 5 + (-5 + x) + (x + -4) = 10 + 16(x + -10) Remove parenthesis around (-5 + x) 5 + -5 + x + (x + -4) = 10 + 16(x + -10) Reorder the terms: 5 + -5 + x + (-4 + x) = 10 + 16(x + -10) Remove parenthesis around (-4 + x) 5 + -5 + x + -4 + x = 10 + 16(x + -10) Reorder the terms: 5 + -5 + -4 + x + x = 10 + 16(x + -10) Combine like terms: 5 + -5 = 0 0 + -4 + x + x = 10 + 16(x + -10) -4 + x + x = 10 + 16(x + -10) Combine like terms: x + x = 2x -4 + 2x = 10 + 16(x + -10) Reorder the terms: -4 + 2x = 10 + 16(-10 + x) -4 + 2x = 10 + (-10 * 16 + x * 16) -4 + 2x = 10 + (-160 + 16x) Combine like terms: 10 + -160 = -150 -4 + 2x = -150 + 16x Solving -4 + 2x = -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. -4 + 2x + -16x = -150 + 16x + -16x Combine like terms: 2x + -16x = -14x -4 + -14x = -150 + 16x + -16x Combine like terms: 16x + -16x = 0 -4 + -14x = -150 + 0 -4 + -14x = -150 Add '4' to each side of the equation. -4 + 4 + -14x = -150 + 4 Combine like terms: -4 + 4 = 0 0 + -14x = -150 + 4 -14x = -150 + 4 Combine like terms: -150 + 4 = -146 -14x = -146 Divide each side by '-14'. x = 10.42857143 Simplifying x = 10.42857143
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