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Simplifying x + 4(x + -1) = 5 + -2(x + 3) Reorder the terms: x + 4(-1 + x) = 5 + -2(x + 3) x + (-1 * 4 + x * 4) = 5 + -2(x + 3) x + (-4 + 4x) = 5 + -2(x + 3) Reorder the terms: -4 + x + 4x = 5 + -2(x + 3) Combine like terms: x + 4x = 5x -4 + 5x = 5 + -2(x + 3) Reorder the terms: -4 + 5x = 5 + -2(3 + x) -4 + 5x = 5 + (3 * -2 + x * -2) -4 + 5x = 5 + (-6 + -2x) Combine like terms: 5 + -6 = -1 -4 + 5x = -1 + -2x Solving -4 + 5x = -1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -4 + 5x + 2x = -1 + -2x + 2x Combine like terms: 5x + 2x = 7x -4 + 7x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 7x = -1 + 0 -4 + 7x = -1 Add '4' to each side of the equation. -4 + 4 + 7x = -1 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = -1 + 4 7x = -1 + 4 Combine like terms: -1 + 4 = 3 7x = 3 Divide each side by '7'. x = 0.4285714286 Simplifying x = 0.4285714286
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