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Simplifying x + -1(4x + -7) = x + 5 Reorder the terms: x + -1(-7 + 4x) = x + 5 x + (-7 * -1 + 4x * -1) = x + 5 x + (7 + -4x) = x + 5 Reorder the terms: 7 + x + -4x = x + 5 Combine like terms: x + -4x = -3x 7 + -3x = x + 5 Reorder the terms: 7 + -3x = 5 + x Solving 7 + -3x = 5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + -3x + -1x = 5 + x + -1x Combine like terms: -3x + -1x = -4x 7 + -4x = 5 + x + -1x Combine like terms: x + -1x = 0 7 + -4x = 5 + 0 7 + -4x = 5 Add '-7' to each side of the equation. 7 + -7 + -4x = 5 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 5 + -7 -4x = 5 + -7 Combine like terms: 5 + -7 = -2 -4x = -2 Divide each side by '-4'. x = 0.5 Simplifying x = 0.5
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