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Simplifying 3x + 10 = 6x + 8.65 Reorder the terms: 10 + 3x = 6x + 8.65 Reorder the terms: 10 + 3x = 8.65 + 6x Solving 10 + 3x = 8.65 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10 + 3x + -6x = 8.65 + 6x + -6x Combine like terms: 3x + -6x = -3x 10 + -3x = 8.65 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -3x = 8.65 + 0 10 + -3x = 8.65 Add '-10' to each side of the equation. 10 + -10 + -3x = 8.65 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 8.65 + -10 -3x = 8.65 + -10 Combine like terms: 8.65 + -10 = -1.35 -3x = -1.35 Divide each side by '-3'. x = 0.45 Simplifying x = 0.45
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