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Simplifying 5x + -1(3 + x) = x + 5(x + -4) 5x + (3 * -1 + x * -1) = x + 5(x + -4) 5x + (-3 + -1x) = x + 5(x + -4) Reorder the terms: -3 + 5x + -1x = x + 5(x + -4) Combine like terms: 5x + -1x = 4x -3 + 4x = x + 5(x + -4) Reorder the terms: -3 + 4x = x + 5(-4 + x) -3 + 4x = x + (-4 * 5 + x * 5) -3 + 4x = x + (-20 + 5x) Reorder the terms: -3 + 4x = -20 + x + 5x Combine like terms: x + 5x = 6x -3 + 4x = -20 + 6x Solving -3 + 4x = -20 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3 + 4x + -6x = -20 + 6x + -6x Combine like terms: 4x + -6x = -2x -3 + -2x = -20 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -2x = -20 + 0 -3 + -2x = -20 Add '3' to each side of the equation. -3 + 3 + -2x = -20 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = -20 + 3 -2x = -20 + 3 Combine like terms: -20 + 3 = -17 -2x = -17 Divide each side by '-2'. x = 8.5 Simplifying x = 8.5
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