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Simplifying 5x + 4 = 8 + -3(4x + -2) Reorder the terms: 4 + 5x = 8 + -3(4x + -2) Reorder the terms: 4 + 5x = 8 + -3(-2 + 4x) 4 + 5x = 8 + (-2 * -3 + 4x * -3) 4 + 5x = 8 + (6 + -12x) Combine like terms: 8 + 6 = 14 4 + 5x = 14 + -12x Solving 4 + 5x = 14 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 4 + 5x + 12x = 14 + -12x + 12x Combine like terms: 5x + 12x = 17x 4 + 17x = 14 + -12x + 12x Combine like terms: -12x + 12x = 0 4 + 17x = 14 + 0 4 + 17x = 14 Add '-4' to each side of the equation. 4 + -4 + 17x = 14 + -4 Combine like terms: 4 + -4 = 0 0 + 17x = 14 + -4 17x = 14 + -4 Combine like terms: 14 + -4 = 10 17x = 10 Divide each side by '17'. x = 0.5882352941 Simplifying x = 0.5882352941
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