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Simplifying 5.4x + 100 = 29.16 + 10x Reorder the terms: 100 + 5.4x = 29.16 + 10x Solving 100 + 5.4x = 29.16 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 100 + 5.4x + -10x = 29.16 + 10x + -10x Combine like terms: 5.4x + -10x = -4.6x 100 + -4.6x = 29.16 + 10x + -10x Combine like terms: 10x + -10x = 0 100 + -4.6x = 29.16 + 0 100 + -4.6x = 29.16 Add '-100' to each side of the equation. 100 + -100 + -4.6x = 29.16 + -100 Combine like terms: 100 + -100 = 0 0 + -4.6x = 29.16 + -100 -4.6x = 29.16 + -100 Combine like terms: 29.16 + -100 = -70.84 -4.6x = -70.84 Divide each side by '-4.6'. x = 15.4 Simplifying x = 15.4
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