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Simplifying 2(x + -7) + 7 = 3x + -1(5 + -4x) Reorder the terms: 2(-7 + x) + 7 = 3x + -1(5 + -4x) (-7 * 2 + x * 2) + 7 = 3x + -1(5 + -4x) (-14 + 2x) + 7 = 3x + -1(5 + -4x) Reorder the terms: -14 + 7 + 2x = 3x + -1(5 + -4x) Combine like terms: -14 + 7 = -7 -7 + 2x = 3x + -1(5 + -4x) -7 + 2x = 3x + (5 * -1 + -4x * -1) -7 + 2x = 3x + (-5 + 4x) Reorder the terms: -7 + 2x = -5 + 3x + 4x Combine like terms: 3x + 4x = 7x -7 + 2x = -5 + 7x Solving -7 + 2x = -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. -7 + 2x + -7x = -5 + 7x + -7x Combine like terms: 2x + -7x = -5x -7 + -5x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + -5x = -5 + 0 -7 + -5x = -5 Add '7' to each side of the equation. -7 + 7 + -5x = -5 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = -5 + 7 -5x = -5 + 7 Combine like terms: -5 + 7 = 2 -5x = 2 Divide each side by '-5'. x = -0.4 Simplifying x = -0.4
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