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Simplifying 6x + 4 + -3x = 10x + -17 Reorder the terms: 4 + 6x + -3x = 10x + -17 Combine like terms: 6x + -3x = 3x 4 + 3x = 10x + -17 Reorder the terms: 4 + 3x = -17 + 10x Solving 4 + 3x = -17 + 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. 4 + 3x + -10x = -17 + 10x + -10x Combine like terms: 3x + -10x = -7x 4 + -7x = -17 + 10x + -10x Combine like terms: 10x + -10x = 0 4 + -7x = -17 + 0 4 + -7x = -17 Add '-4' to each side of the equation. 4 + -4 + -7x = -17 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = -17 + -4 -7x = -17 + -4 Combine like terms: -17 + -4 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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