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Simplifying 2x + -114 + 13x = 7x + 71 Reorder the terms: -114 + 2x + 13x = 7x + 71 Combine like terms: 2x + 13x = 15x -114 + 15x = 7x + 71 Reorder the terms: -114 + 15x = 71 + 7x Solving -114 + 15x = 71 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -114 + 15x + -7x = 71 + 7x + -7x Combine like terms: 15x + -7x = 8x -114 + 8x = 71 + 7x + -7x Combine like terms: 7x + -7x = 0 -114 + 8x = 71 + 0 -114 + 8x = 71 Add '114' to each side of the equation. -114 + 114 + 8x = 71 + 114 Combine like terms: -114 + 114 = 0 0 + 8x = 71 + 114 8x = 71 + 114 Combine like terms: 71 + 114 = 185 8x = 185 Divide each side by '8'. x = 23.125 Simplifying x = 23.125
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