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Simplifying 5(x + 1) + 3x = 6 + -1(4x + -3) Reorder the terms: 5(1 + x) + 3x = 6 + -1(4x + -3) (1 * 5 + x * 5) + 3x = 6 + -1(4x + -3) (5 + 5x) + 3x = 6 + -1(4x + -3) Combine like terms: 5x + 3x = 8x 5 + 8x = 6 + -1(4x + -3) Reorder the terms: 5 + 8x = 6 + -1(-3 + 4x) 5 + 8x = 6 + (-3 * -1 + 4x * -1) 5 + 8x = 6 + (3 + -4x) Combine like terms: 6 + 3 = 9 5 + 8x = 9 + -4x Solving 5 + 8x = 9 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 5 + 8x + 4x = 9 + -4x + 4x Combine like terms: 8x + 4x = 12x 5 + 12x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + 12x = 9 + 0 5 + 12x = 9 Add '-5' to each side of the equation. 5 + -5 + 12x = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 12x = 9 + -5 12x = 9 + -5 Combine like terms: 9 + -5 = 4 12x = 4 Divide each side by '12'. x = 0.3333333333 Simplifying x = 0.3333333333
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