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Simplifying 3x + -1(x + -7) = 4x + -5 Reorder the terms: 3x + -1(-7 + x) = 4x + -5 3x + (-7 * -1 + x * -1) = 4x + -5 3x + (7 + -1x) = 4x + -5 Reorder the terms: 7 + 3x + -1x = 4x + -5 Combine like terms: 3x + -1x = 2x 7 + 2x = 4x + -5 Reorder the terms: 7 + 2x = -5 + 4x Solving 7 + 2x = -5 + 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. 7 + 2x + -4x = -5 + 4x + -4x Combine like terms: 2x + -4x = -2x 7 + -2x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + -2x = -5 + 0 7 + -2x = -5 Add '-7' to each side of the equation. 7 + -7 + -2x = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = -5 + -7 -2x = -5 + -7 Combine like terms: -5 + -7 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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