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Simplifying 34 + -6x + -10 = x + 3 + 5 Reorder the terms: 34 + -10 + -6x = x + 3 + 5 Combine like terms: 34 + -10 = 24 24 + -6x = x + 3 + 5 Reorder the terms: 24 + -6x = 3 + 5 + x Combine like terms: 3 + 5 = 8 24 + -6x = 8 + x Solving 24 + -6x = 8 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 24 + -6x + -1x = 8 + x + -1x Combine like terms: -6x + -1x = -7x 24 + -7x = 8 + x + -1x Combine like terms: x + -1x = 0 24 + -7x = 8 + 0 24 + -7x = 8 Add '-24' to each side of the equation. 24 + -24 + -7x = 8 + -24 Combine like terms: 24 + -24 = 0 0 + -7x = 8 + -24 -7x = 8 + -24 Combine like terms: 8 + -24 = -16 -7x = -16 Divide each side by '-7'. x = 2.285714286 Simplifying x = 2.285714286
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