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Simplifying x + 7 = 4(3x + -1) Reorder the terms: 7 + x = 4(3x + -1) Reorder the terms: 7 + x = 4(-1 + 3x) 7 + x = (-1 * 4 + 3x * 4) 7 + x = (-4 + 12x) Solving 7 + x = -4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 7 + x + -12x = -4 + 12x + -12x Combine like terms: x + -12x = -11x 7 + -11x = -4 + 12x + -12x Combine like terms: 12x + -12x = 0 7 + -11x = -4 + 0 7 + -11x = -4 Add '-7' to each side of the equation. 7 + -7 + -11x = -4 + -7 Combine like terms: 7 + -7 = 0 0 + -11x = -4 + -7 -11x = -4 + -7 Combine like terms: -4 + -7 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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