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Simplifying 7 + -1(5 + -4x) = 7x + -19 7 + (5 * -1 + -4x * -1) = 7x + -19 7 + (-5 + 4x) = 7x + -19 Combine like terms: 7 + -5 = 2 2 + 4x = 7x + -19 Reorder the terms: 2 + 4x = -19 + 7x Solving 2 + 4x = -19 + 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 = -19 + 7x + -7x Combine like terms: 4x + -7x = -3x 2 + -3x = -19 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -3x = -19 + 0 2 + -3x = -19 Add '-2' to each side of the equation. 2 + -2 + -3x = -19 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = -19 + -2 -3x = -19 + -2 Combine like terms: -19 + -2 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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