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Simplifying -4x + (9x + 2) = 7 + -1(-5x + x) Reorder the terms: -4x + (2 + 9x) = 7 + -1(-5x + x) Remove parenthesis around (2 + 9x) -4x + 2 + 9x = 7 + -1(-5x + x) Reorder the terms: 2 + -4x + 9x = 7 + -1(-5x + x) Combine like terms: -4x + 9x = 5x 2 + 5x = 7 + -1(-5x + x) Combine like terms: -5x + x = -4x 2 + 5x = 7 + -1(-4x) Remove parenthesis around (-4x) 2 + 5x = 7 + -1 * -4x Multiply -1 * -4 2 + 5x = 7 + 4x Solving 2 + 5x = 7 + 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. 2 + 5x + -4x = 7 + 4x + -4x Combine like terms: 5x + -4x = 1x 2 + 1x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 1x = 7 + 0 2 + 1x = 7 Add '-2' to each side of the equation. 2 + -2 + 1x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 7 + -2 1x = 7 + -2 Combine like terms: 7 + -2 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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