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Simplifying 5x + 3 = 6 + -2(x + -4) Reorder the terms: 3 + 5x = 6 + -2(x + -4) Reorder the terms: 3 + 5x = 6 + -2(-4 + x) 3 + 5x = 6 + (-4 * -2 + x * -2) 3 + 5x = 6 + (8 + -2x) Combine like terms: 6 + 8 = 14 3 + 5x = 14 + -2x Solving 3 + 5x = 14 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 3 + 5x + 2x = 14 + -2x + 2x Combine like terms: 5x + 2x = 7x 3 + 7x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 7x = 14 + 0 3 + 7x = 14 Add '-3' to each side of the equation. 3 + -3 + 7x = 14 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 14 + -3 7x = 14 + -3 Combine like terms: 14 + -3 = 11 7x = 11 Divide each side by '7'. x = 1.571428571 Simplifying x = 1.571428571
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