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Simplifying 5 + 3(4 + -2x) = 5x + 3(4x + -2) 5 + (4 * 3 + -2x * 3) = 5x + 3(4x + -2) 5 + (12 + -6x) = 5x + 3(4x + -2) Combine like terms: 5 + 12 = 17 17 + -6x = 5x + 3(4x + -2) Reorder the terms: 17 + -6x = 5x + 3(-2 + 4x) 17 + -6x = 5x + (-2 * 3 + 4x * 3) 17 + -6x = 5x + (-6 + 12x) Reorder the terms: 17 + -6x = -6 + 5x + 12x Combine like terms: 5x + 12x = 17x 17 + -6x = -6 + 17x Solving 17 + -6x = -6 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 17 + -6x + -17x = -6 + 17x + -17x Combine like terms: -6x + -17x = -23x 17 + -23x = -6 + 17x + -17x Combine like terms: 17x + -17x = 0 17 + -23x = -6 + 0 17 + -23x = -6 Add '-17' to each side of the equation. 17 + -17 + -23x = -6 + -17 Combine like terms: 17 + -17 = 0 0 + -23x = -6 + -17 -23x = -6 + -17 Combine like terms: -6 + -17 = -23 -23x = -23 Divide each side by '-23'. x = 1 Simplifying x = 1
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