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Simplifying x + -1(4x + -7) = 5x + -1(x + -21) Reorder the terms: x + -1(-7 + 4x) = 5x + -1(x + -21) x + (-7 * -1 + 4x * -1) = 5x + -1(x + -21) x + (7 + -4x) = 5x + -1(x + -21) Reorder the terms: 7 + x + -4x = 5x + -1(x + -21) Combine like terms: x + -4x = -3x 7 + -3x = 5x + -1(x + -21) Reorder the terms: 7 + -3x = 5x + -1(-21 + x) 7 + -3x = 5x + (-21 * -1 + x * -1) 7 + -3x = 5x + (21 + -1x) Reorder the terms: 7 + -3x = 21 + 5x + -1x Combine like terms: 5x + -1x = 4x 7 + -3x = 21 + 4x Solving 7 + -3x = 21 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 7 + -3x + -4x = 21 + 4x + -4x Combine like terms: -3x + -4x = -7x 7 + -7x = 21 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + -7x = 21 + 0 7 + -7x = 21 Add '-7' to each side of the equation. 7 + -7 + -7x = 21 + -7 Combine like terms: 7 + -7 = 0 0 + -7x = 21 + -7 -7x = 21 + -7 Combine like terms: 21 + -7 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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