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Simplifying 5 + -1(x + 1) + 3x = 6 + -1(4x + -3) Reorder the terms: 5 + -1(1 + x) + 3x = 6 + -1(4x + -3) 5 + (1 * -1 + x * -1) + 3x = 6 + -1(4x + -3) 5 + (-1 + -1x) + 3x = 6 + -1(4x + -3) Combine like terms: 5 + -1 = 4 4 + -1x + 3x = 6 + -1(4x + -3) Combine like terms: -1x + 3x = 2x 4 + 2x = 6 + -1(4x + -3) Reorder the terms: 4 + 2x = 6 + -1(-3 + 4x) 4 + 2x = 6 + (-3 * -1 + 4x * -1) 4 + 2x = 6 + (3 + -4x) Combine like terms: 6 + 3 = 9 4 + 2x = 9 + -4x Solving 4 + 2x = 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. 4 + 2x + 4x = 9 + -4x + 4x Combine like terms: 2x + 4x = 6x 4 + 6x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + 6x = 9 + 0 4 + 6x = 9 Add '-4' to each side of the equation. 4 + -4 + 6x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = 9 + -4 6x = 9 + -4 Combine like terms: 9 + -4 = 5 6x = 5 Divide each side by '6'. x = 0.8333333333 Simplifying x = 0.8333333333
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