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Simplifying 2x + 1(4x + -3) = 7x + 3(x + -1) Reorder the terms: 2x + 1(-3 + 4x) = 7x + 3(x + -1) 2x + (-3 * 1 + 4x * 1) = 7x + 3(x + -1) 2x + (-3 + 4x) = 7x + 3(x + -1) Reorder the terms: -3 + 2x + 4x = 7x + 3(x + -1) Combine like terms: 2x + 4x = 6x -3 + 6x = 7x + 3(x + -1) Reorder the terms: -3 + 6x = 7x + 3(-1 + x) -3 + 6x = 7x + (-1 * 3 + x * 3) -3 + 6x = 7x + (-3 + 3x) Reorder the terms: -3 + 6x = -3 + 7x + 3x Combine like terms: 7x + 3x = 10x -3 + 6x = -3 + 10x Add '3' to each side of the equation. -3 + 3 + 6x = -3 + 3 + 10x Combine like terms: -3 + 3 = 0 0 + 6x = -3 + 3 + 10x 6x = -3 + 3 + 10x Combine like terms: -3 + 3 = 0 6x = 0 + 10x 6x = 10x Solving 6x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6x + -10x = 10x + -10x Combine like terms: 6x + -10x = -4x -4x = 10x + -10x Combine like terms: 10x + -10x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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