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Simplifying 117 = (6x + 44) + (-10x + 65) Reorder the terms: 117 = (44 + 6x) + (-10x + 65) Remove parenthesis around (44 + 6x) 117 = 44 + 6x + (-10x + 65) Reorder the terms: 117 = 44 + 6x + (65 + -10x) Remove parenthesis around (65 + -10x) 117 = 44 + 6x + 65 + -10x Reorder the terms: 117 = 44 + 65 + 6x + -10x Combine like terms: 44 + 65 = 109 117 = 109 + 6x + -10x Combine like terms: 6x + -10x = -4x 117 = 109 + -4x Solving 117 = 109 + -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. 117 + 4x = 109 + -4x + 4x Combine like terms: -4x + 4x = 0 117 + 4x = 109 + 0 117 + 4x = 109 Add '-117' to each side of the equation. 117 + -117 + 4x = 109 + -117 Combine like terms: 117 + -117 = 0 0 + 4x = 109 + -117 4x = 109 + -117 Combine like terms: 109 + -117 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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