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Simplifying 10x + 13 = 2x + 117 Reorder the terms: 13 + 10x = 2x + 117 Reorder the terms: 13 + 10x = 117 + 2x Solving 13 + 10x = 117 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 13 + 10x + -2x = 117 + 2x + -2x Combine like terms: 10x + -2x = 8x 13 + 8x = 117 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + 8x = 117 + 0 13 + 8x = 117 Add '-13' to each side of the equation. 13 + -13 + 8x = 117 + -13 Combine like terms: 13 + -13 = 0 0 + 8x = 117 + -13 8x = 117 + -13 Combine like terms: 117 + -13 = 104 8x = 104 Divide each side by '8'. x = 13 Simplifying x = 13
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