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Simplifying x + -1(4x + -7) = 5x + (x + 21) Reorder the terms: x + -1(-7 + 4x) = 5x + (x + 21) x + (-7 * -1 + 4x * -1) = 5x + (x + 21) x + (7 + -4x) = 5x + (x + 21) Reorder the terms: 7 + x + -4x = 5x + (x + 21) Combine like terms: x + -4x = -3x 7 + -3x = 5x + (x + 21) Reorder the terms: 7 + -3x = 5x + (21 + x) Remove parenthesis around (21 + x) 7 + -3x = 5x + 21 + x Reorder the terms: 7 + -3x = 21 + 5x + x Combine like terms: 5x + x = 6x 7 + -3x = 21 + 6x Solving 7 + -3x = 21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + -3x + -6x = 21 + 6x + -6x Combine like terms: -3x + -6x = -9x 7 + -9x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -9x = 21 + 0 7 + -9x = 21 Add '-7' to each side of the equation. 7 + -7 + -9x = 21 + -7 Combine like terms: 7 + -7 = 0 0 + -9x = 21 + -7 -9x = 21 + -7 Combine like terms: 21 + -7 = 14 -9x = 14 Divide each side by '-9'. x = -1.555555556 Simplifying x = -1.555555556
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