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Simplifying -4x + 17 = 2(3x + 2) + 3 Reorder the terms: 17 + -4x = 2(3x + 2) + 3 Reorder the terms: 17 + -4x = 2(2 + 3x) + 3 17 + -4x = (2 * 2 + 3x * 2) + 3 17 + -4x = (4 + 6x) + 3 Reorder the terms: 17 + -4x = 4 + 3 + 6x Combine like terms: 4 + 3 = 7 17 + -4x = 7 + 6x Solving 17 + -4x = 7 + 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. 17 + -4x + -6x = 7 + 6x + -6x Combine like terms: -4x + -6x = -10x 17 + -10x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 17 + -10x = 7 + 0 17 + -10x = 7 Add '-17' to each side of the equation. 17 + -17 + -10x = 7 + -17 Combine like terms: 17 + -17 = 0 0 + -10x = 7 + -17 -10x = 7 + -17 Combine like terms: 7 + -17 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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