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Simplifying 4(x + 9) + 10(x + -5) = 100 + -4x Reorder the terms: 4(9 + x) + 10(x + -5) = 100 + -4x (9 * 4 + x * 4) + 10(x + -5) = 100 + -4x (36 + 4x) + 10(x + -5) = 100 + -4x Reorder the terms: 36 + 4x + 10(-5 + x) = 100 + -4x 36 + 4x + (-5 * 10 + x * 10) = 100 + -4x 36 + 4x + (-50 + 10x) = 100 + -4x Reorder the terms: 36 + -50 + 4x + 10x = 100 + -4x Combine like terms: 36 + -50 = -14 -14 + 4x + 10x = 100 + -4x Combine like terms: 4x + 10x = 14x -14 + 14x = 100 + -4x Solving -14 + 14x = 100 + -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. -14 + 14x + 4x = 100 + -4x + 4x Combine like terms: 14x + 4x = 18x -14 + 18x = 100 + -4x + 4x Combine like terms: -4x + 4x = 0 -14 + 18x = 100 + 0 -14 + 18x = 100 Add '14' to each side of the equation. -14 + 14 + 18x = 100 + 14 Combine like terms: -14 + 14 = 0 0 + 18x = 100 + 14 18x = 100 + 14 Combine like terms: 100 + 14 = 114 18x = 114 Divide each side by '18'. x = 6.333333333 Simplifying x = 6.333333333
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