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Simplifying 5x + 3 + -1(2x + -4) = x + -2 + -1(x + 3) Reorder the terms: 5x + 3 + -1(-4 + 2x) = x + -2 + -1(x + 3) 5x + 3 + (-4 * -1 + 2x * -1) = x + -2 + -1(x + 3) 5x + 3 + (4 + -2x) = x + -2 + -1(x + 3) Reorder the terms: 3 + 4 + 5x + -2x = x + -2 + -1(x + 3) Combine like terms: 3 + 4 = 7 7 + 5x + -2x = x + -2 + -1(x + 3) Combine like terms: 5x + -2x = 3x 7 + 3x = x + -2 + -1(x + 3) Reorder the terms: 7 + 3x = x + -2 + -1(3 + x) 7 + 3x = x + -2 + (3 * -1 + x * -1) 7 + 3x = x + -2 + (-3 + -1x) Reorder the terms: 7 + 3x = -2 + -3 + x + -1x Combine like terms: -2 + -3 = -5 7 + 3x = -5 + x + -1x Combine like terms: x + -1x = 0 7 + 3x = -5 + 0 7 + 3x = -5 Solving 7 + 3x = -5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3x = -5 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = -5 + -7 3x = -5 + -7 Combine like terms: -5 + -7 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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