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Simplifying x + -7 = 2x + -3(4x + 1) + -4 Reorder the terms: -7 + x = 2x + -3(4x + 1) + -4 Reorder the terms: -7 + x = 2x + -3(1 + 4x) + -4 -7 + x = 2x + (1 * -3 + 4x * -3) + -4 -7 + x = 2x + (-3 + -12x) + -4 Reorder the terms: -7 + x = -3 + -4 + 2x + -12x Combine like terms: -3 + -4 = -7 -7 + x = -7 + 2x + -12x Combine like terms: 2x + -12x = -10x -7 + x = -7 + -10x Add '7' to each side of the equation. -7 + 7 + x = -7 + 7 + -10x Combine like terms: -7 + 7 = 0 0 + x = -7 + 7 + -10x x = -7 + 7 + -10x Combine like terms: -7 + 7 = 0 x = 0 + -10x x = -10x Solving x = -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. x + 10x = -10x + 10x Combine like terms: x + 10x = 11x 11x = -10x + 10x Combine like terms: -10x + 10x = 0 11x = 0 Divide each side by '11'. x = 0 Simplifying x = 0
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