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Simplifying 3x + 16 = 10x + 6 Reorder the terms: 16 + 3x = 10x + 6 Reorder the terms: 16 + 3x = 6 + 10x Solving 16 + 3x = 6 + 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. 16 + 3x + -10x = 6 + 10x + -10x Combine like terms: 3x + -10x = -7x 16 + -7x = 6 + 10x + -10x Combine like terms: 10x + -10x = 0 16 + -7x = 6 + 0 16 + -7x = 6 Add '-16' to each side of the equation. 16 + -16 + -7x = 6 + -16 Combine like terms: 16 + -16 = 0 0 + -7x = 6 + -16 -7x = 6 + -16 Combine like terms: 6 + -16 = -10 -7x = -10 Divide each side by '-7'. x = 1.428571429 Simplifying x = 1.428571429
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