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Simplifying 7 + -1(4x + 3) = -3(x + 2) + -1(2x + 3) Reorder the terms: 7 + -1(3 + 4x) = -3(x + 2) + -1(2x + 3) 7 + (3 * -1 + 4x * -1) = -3(x + 2) + -1(2x + 3) 7 + (-3 + -4x) = -3(x + 2) + -1(2x + 3) Combine like terms: 7 + -3 = 4 4 + -4x = -3(x + 2) + -1(2x + 3) Reorder the terms: 4 + -4x = -3(2 + x) + -1(2x + 3) 4 + -4x = (2 * -3 + x * -3) + -1(2x + 3) 4 + -4x = (-6 + -3x) + -1(2x + 3) Reorder the terms: 4 + -4x = -6 + -3x + -1(3 + 2x) 4 + -4x = -6 + -3x + (3 * -1 + 2x * -1) 4 + -4x = -6 + -3x + (-3 + -2x) Reorder the terms: 4 + -4x = -6 + -3 + -3x + -2x Combine like terms: -6 + -3 = -9 4 + -4x = -9 + -3x + -2x Combine like terms: -3x + -2x = -5x 4 + -4x = -9 + -5x Solving 4 + -4x = -9 + -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. 4 + -4x + 5x = -9 + -5x + 5x Combine like terms: -4x + 5x = 1x 4 + 1x = -9 + -5x + 5x Combine like terms: -5x + 5x = 0 4 + 1x = -9 + 0 4 + 1x = -9 Add '-4' to each side of the equation. 4 + -4 + 1x = -9 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = -9 + -4 1x = -9 + -4 Combine like terms: -9 + -4 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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