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Simplifying 4(x + -1) + 2 = 5x + -2(x + 3) Reorder the terms: 4(-1 + x) + 2 = 5x + -2(x + 3) (-1 * 4 + x * 4) + 2 = 5x + -2(x + 3) (-4 + 4x) + 2 = 5x + -2(x + 3) Reorder the terms: -4 + 2 + 4x = 5x + -2(x + 3) Combine like terms: -4 + 2 = -2 -2 + 4x = 5x + -2(x + 3) Reorder the terms: -2 + 4x = 5x + -2(3 + x) -2 + 4x = 5x + (3 * -2 + x * -2) -2 + 4x = 5x + (-6 + -2x) Reorder the terms: -2 + 4x = -6 + 5x + -2x Combine like terms: 5x + -2x = 3x -2 + 4x = -6 + 3x Solving -2 + 4x = -6 + 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. -2 + 4x + -3x = -6 + 3x + -3x Combine like terms: 4x + -3x = 1x -2 + 1x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 1x = -6 + 0 -2 + 1x = -6 Add '2' to each side of the equation. -2 + 2 + 1x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = -6 + 2 1x = -6 + 2 Combine like terms: -6 + 2 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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