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Simplifying 7 = (x + -1) + 4(x + -1) Reorder the terms: 7 = (-1 + x) + 4(x + -1) Remove parenthesis around (-1 + x) 7 = -1 + x + 4(x + -1) Reorder the terms: 7 = -1 + x + 4(-1 + x) 7 = -1 + x + (-1 * 4 + x * 4) 7 = -1 + x + (-4 + 4x) Reorder the terms: 7 = -1 + -4 + x + 4x Combine like terms: -1 + -4 = -5 7 = -5 + x + 4x Combine like terms: x + 4x = 5x 7 = -5 + 5x Solving 7 = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + -5x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -5x = -5 + 0 7 + -5x = -5 Add '-7' to each side of the equation. 7 + -7 + -5x = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = -5 + -7 -5x = -5 + -7 Combine like terms: -5 + -7 = -12 -5x = -12 Divide each side by '-5'. x = 2.4 Simplifying x = 2.4
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