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Simplifying 5 + -1(1x + 4) = 3x + -7 Reorder the terms: 5 + -1(4 + 1x) = 3x + -7 5 + (4 * -1 + 1x * -1) = 3x + -7 5 + (-4 + -1x) = 3x + -7 Combine like terms: 5 + -4 = 1 1 + -1x = 3x + -7 Reorder the terms: 1 + -1x = -7 + 3x Solving 1 + -1x = -7 + 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. 1 + -1x + -3x = -7 + 3x + -3x Combine like terms: -1x + -3x = -4x 1 + -4x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + -4x = -7 + 0 1 + -4x = -7 Add '-1' to each side of the equation. 1 + -1 + -4x = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = -7 + -1 -4x = -7 + -1 Combine like terms: -7 + -1 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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