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Simplifying X + 3 + -7(x + 1) = 2(4x + -7) Reorder the terms: X + 3 + -7(1 + x) = 2(4x + -7) X + 3 + (1 * -7 + x * -7) = 2(4x + -7) X + 3 + (-7 + -7x) = 2(4x + -7) Reorder the terms: 3 + -7 + X + -7x = 2(4x + -7) Combine like terms: 3 + -7 = -4 -4 + X + -7x = 2(4x + -7) Reorder the terms: -4 + X + -7x = 2(-7 + 4x) -4 + X + -7x = (-7 * 2 + 4x * 2) -4 + X + -7x = (-14 + 8x) Solving -4 + X + -7x = -14 + 8x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '4' to each side of the equation. -4 + X + 4 + -7x = -14 + 4 + 8x Reorder the terms: -4 + 4 + X + -7x = -14 + 4 + 8x Combine like terms: -4 + 4 = 0 0 + X + -7x = -14 + 4 + 8x X + -7x = -14 + 4 + 8x Combine like terms: -14 + 4 = -10 X + -7x = -10 + 8x Add '7x' to each side of the equation. X + -7x + 7x = -10 + 8x + 7x Combine like terms: -7x + 7x = 0 X + 0 = -10 + 8x + 7x X = -10 + 8x + 7x Combine like terms: 8x + 7x = 15x X = -10 + 15x Simplifying X = -10 + 15x
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