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Simplifying 2x * 7 + -5(x + 1) = -1(-4x + -7) Reorder the terms for easier multiplication: 2 * 7x + -5(x + 1) = -1(-4x + -7) Multiply 2 * 7 14x + -5(x + 1) = -1(-4x + -7) Reorder the terms: 14x + -5(1 + x) = -1(-4x + -7) 14x + (1 * -5 + x * -5) = -1(-4x + -7) 14x + (-5 + -5x) = -1(-4x + -7) Reorder the terms: -5 + 14x + -5x = -1(-4x + -7) Combine like terms: 14x + -5x = 9x -5 + 9x = -1(-4x + -7) Reorder the terms: -5 + 9x = -1(-7 + -4x) -5 + 9x = (-7 * -1 + -4x * -1) -5 + 9x = (7 + 4x) Solving -5 + 9x = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + 9x + -4x = 7 + 4x + -4x Combine like terms: 9x + -4x = 5x -5 + 5x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 5x = 7 + 0 -5 + 5x = 7 Add '5' to each side of the equation. -5 + 5 + 5x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = 7 + 5 5x = 7 + 5 Combine like terms: 7 + 5 = 12 5x = 12 Divide each side by '5'. x = 2.4 Simplifying x = 2.4
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