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Simplifying -7(x + -3) + (3x + -4) = 4x + -4 + 1 + x Reorder the terms: -7(-3 + x) + (3x + -4) = 4x + -4 + 1 + x (-3 * -7 + x * -7) + (3x + -4) = 4x + -4 + 1 + x (21 + -7x) + (3x + -4) = 4x + -4 + 1 + x Reorder the terms: 21 + -7x + (-4 + 3x) = 4x + -4 + 1 + x Remove parenthesis around (-4 + 3x) 21 + -7x + -4 + 3x = 4x + -4 + 1 + x Reorder the terms: 21 + -4 + -7x + 3x = 4x + -4 + 1 + x Combine like terms: 21 + -4 = 17 17 + -7x + 3x = 4x + -4 + 1 + x Combine like terms: -7x + 3x = -4x 17 + -4x = 4x + -4 + 1 + x Reorder the terms: 17 + -4x = -4 + 1 + 4x + x Combine like terms: -4 + 1 = -3 17 + -4x = -3 + 4x + x Combine like terms: 4x + x = 5x 17 + -4x = -3 + 5x Solving 17 + -4x = -3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 17 + -4x + -5x = -3 + 5x + -5x Combine like terms: -4x + -5x = -9x 17 + -9x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 17 + -9x = -3 + 0 17 + -9x = -3 Add '-17' to each side of the equation. 17 + -17 + -9x = -3 + -17 Combine like terms: 17 + -17 = 0 0 + -9x = -3 + -17 -9x = -3 + -17 Combine like terms: -3 + -17 = -20 -9x = -20 Divide each side by '-9'. x = 2.222222222 Simplifying x = 2.222222222
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