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Simplifying 4(x + -1) + 3 = 4x + -1(x + 1) Reorder the terms: 4(-1 + x) + 3 = 4x + -1(x + 1) (-1 * 4 + x * 4) + 3 = 4x + -1(x + 1) (-4 + 4x) + 3 = 4x + -1(x + 1) Reorder the terms: -4 + 3 + 4x = 4x + -1(x + 1) Combine like terms: -4 + 3 = -1 -1 + 4x = 4x + -1(x + 1) Reorder the terms: -1 + 4x = 4x + -1(1 + x) -1 + 4x = 4x + (1 * -1 + x * -1) -1 + 4x = 4x + (-1 + -1x) Reorder the terms: -1 + 4x = -1 + 4x + -1x Combine like terms: 4x + -1x = 3x -1 + 4x = -1 + 3x Add '1' to each side of the equation. -1 + 1 + 4x = -1 + 1 + 3x Combine like terms: -1 + 1 = 0 0 + 4x = -1 + 1 + 3x 4x = -1 + 1 + 3x Combine like terms: -1 + 1 = 0 4x = 0 + 3x 4x = 3x Solving 4x = 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. 4x + -3x = 3x + -3x Combine like terms: 4x + -3x = 1x 1x = 3x + -3x Combine like terms: 3x + -3x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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