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Simplifying 4x + 6 + 3 = 17 + -2(3x + -6) Reorder the terms: 6 + 3 + 4x = 17 + -2(3x + -6) Combine like terms: 6 + 3 = 9 9 + 4x = 17 + -2(3x + -6) Reorder the terms: 9 + 4x = 17 + -2(-6 + 3x) 9 + 4x = 17 + (-6 * -2 + 3x * -2) 9 + 4x = 17 + (12 + -6x) Combine like terms: 17 + 12 = 29 9 + 4x = 29 + -6x Solving 9 + 4x = 29 + -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. 9 + 4x + 6x = 29 + -6x + 6x Combine like terms: 4x + 6x = 10x 9 + 10x = 29 + -6x + 6x Combine like terms: -6x + 6x = 0 9 + 10x = 29 + 0 9 + 10x = 29 Add '-9' to each side of the equation. 9 + -9 + 10x = 29 + -9 Combine like terms: 9 + -9 = 0 0 + 10x = 29 + -9 10x = 29 + -9 Combine like terms: 29 + -9 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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