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Simplifying 5 + -3(2x + 1) = 4 + -1(x + -3) Reorder the terms: 5 + -3(1 + 2x) = 4 + -1(x + -3) 5 + (1 * -3 + 2x * -3) = 4 + -1(x + -3) 5 + (-3 + -6x) = 4 + -1(x + -3) Combine like terms: 5 + -3 = 2 2 + -6x = 4 + -1(x + -3) Reorder the terms: 2 + -6x = 4 + -1(-3 + x) 2 + -6x = 4 + (-3 * -1 + x * -1) 2 + -6x = 4 + (3 + -1x) Combine like terms: 4 + 3 = 7 2 + -6x = 7 + -1x Solving 2 + -6x = 7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2 + -6x + x = 7 + -1x + x Combine like terms: -6x + x = -5x 2 + -5x = 7 + -1x + x Combine like terms: -1x + x = 0 2 + -5x = 7 + 0 2 + -5x = 7 Add '-2' to each side of the equation. 2 + -2 + -5x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 7 + -2 -5x = 7 + -2 Combine like terms: 7 + -2 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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