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Simplifying 4(x + -1) + 2 = 7x + 5 Reorder the terms: 4(-1 + x) + 2 = 7x + 5 (-1 * 4 + x * 4) + 2 = 7x + 5 (-4 + 4x) + 2 = 7x + 5 Reorder the terms: -4 + 2 + 4x = 7x + 5 Combine like terms: -4 + 2 = -2 -2 + 4x = 7x + 5 Reorder the terms: -2 + 4x = 5 + 7x Solving -2 + 4x = 5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + 4x + -7x = 5 + 7x + -7x Combine like terms: 4x + -7x = -3x -2 + -3x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -3x = 5 + 0 -2 + -3x = 5 Add '2' to each side of the equation. -2 + 2 + -3x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 5 + 2 -3x = 5 + 2 Combine like terms: 5 + 2 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333
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