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