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Simplifying 4(x + 1) + -3(4x + 1) = 5(1 + -3x) Reorder the terms: 4(1 + x) + -3(4x + 1) = 5(1 + -3x) (1 * 4 + x * 4) + -3(4x + 1) = 5(1 + -3x) (4 + 4x) + -3(4x + 1) = 5(1 + -3x) Reorder the terms: 4 + 4x + -3(1 + 4x) = 5(1 + -3x) 4 + 4x + (1 * -3 + 4x * -3) = 5(1 + -3x) 4 + 4x + (-3 + -12x) = 5(1 + -3x) Reorder the terms: 4 + -3 + 4x + -12x = 5(1 + -3x) Combine like terms: 4 + -3 = 1 1 + 4x + -12x = 5(1 + -3x) Combine like terms: 4x + -12x = -8x 1 + -8x = 5(1 + -3x) 1 + -8x = (1 * 5 + -3x * 5) 1 + -8x = (5 + -15x) Solving 1 + -8x = 5 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 1 + -8x + 15x = 5 + -15x + 15x Combine like terms: -8x + 15x = 7x 1 + 7x = 5 + -15x + 15x Combine like terms: -15x + 15x = 0 1 + 7x = 5 + 0 1 + 7x = 5 Add '-1' to each side of the equation. 1 + -1 + 7x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 5 + -1 7x = 5 + -1 Combine like terms: 5 + -1 = 4 7x = 4 Divide each side by '7'. x = 0.5714285714 Simplifying x = 0.5714285714
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