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Simplifying 10x + 45 = 2x + 29 Reorder the terms: 45 + 10x = 2x + 29 Reorder the terms: 45 + 10x = 29 + 2x Solving 45 + 10x = 29 + 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. 45 + 10x + -2x = 29 + 2x + -2x Combine like terms: 10x + -2x = 8x 45 + 8x = 29 + 2x + -2x Combine like terms: 2x + -2x = 0 45 + 8x = 29 + 0 45 + 8x = 29 Add '-45' to each side of the equation. 45 + -45 + 8x = 29 + -45 Combine like terms: 45 + -45 = 0 0 + 8x = 29 + -45 8x = 29 + -45 Combine like terms: 29 + -45 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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