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Simplifying X + -1(4x + -7) = 5x + -1(x + 12) Reorder the terms: X + -1(-7 + 4x) = 5x + -1(x + 12) X + (-7 * -1 + 4x * -1) = 5x + -1(x + 12) X + (7 + -4x) = 5x + -1(x + 12) Reorder the terms: 7 + X + -4x = 5x + -1(x + 12) Reorder the terms: 7 + X + -4x = 5x + -1(12 + x) 7 + X + -4x = 5x + (12 * -1 + x * -1) 7 + X + -4x = 5x + (-12 + -1x) Reorder the terms: 7 + X + -4x = -12 + 5x + -1x Combine like terms: 5x + -1x = 4x 7 + X + -4x = -12 + 4x Solving 7 + X + -4x = -12 + 4x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + X + -7 + -4x = -12 + -7 + 4x Reorder the terms: 7 + -7 + X + -4x = -12 + -7 + 4x Combine like terms: 7 + -7 = 0 0 + X + -4x = -12 + -7 + 4x X + -4x = -12 + -7 + 4x Combine like terms: -12 + -7 = -19 X + -4x = -19 + 4x Add '4x' to each side of the equation. X + -4x + 4x = -19 + 4x + 4x Combine like terms: -4x + 4x = 0 X + 0 = -19 + 4x + 4x X = -19 + 4x + 4x Combine like terms: 4x + 4x = 8x X = -19 + 8x Simplifying X = -19 + 8x
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