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Simplifying x + -7 = (1 + 3x) * 4 Reorder the terms: -7 + x = (1 + 3x) * 4 Reorder the terms for easier multiplication: -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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