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Simplifying 3x + 5(1 + -2x) = 4 + -3(x + 1) 3x + (1 * 5 + -2x * 5) = 4 + -3(x + 1) 3x + (5 + -10x) = 4 + -3(x + 1) Reorder the terms: 5 + 3x + -10x = 4 + -3(x + 1) Combine like terms: 3x + -10x = -7x 5 + -7x = 4 + -3(x + 1) Reorder the terms: 5 + -7x = 4 + -3(1 + x) 5 + -7x = 4 + (1 * -3 + x * -3) 5 + -7x = 4 + (-3 + -3x) Combine like terms: 4 + -3 = 1 5 + -7x = 1 + -3x Solving 5 + -7x = 1 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 5 + -7x + 3x = 1 + -3x + 3x Combine like terms: -7x + 3x = -4x 5 + -4x = 1 + -3x + 3x Combine like terms: -3x + 3x = 0 5 + -4x = 1 + 0 5 + -4x = 1 Add '-5' to each side of the equation. 5 + -5 + -4x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 1 + -5 -4x = 1 + -5 Combine like terms: 1 + -5 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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