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Simplifying (2x + 3) + -1(4x + 7) = 5 + 2(4x + 1) Reorder the terms: (3 + 2x) + -1(4x + 7) = 5 + 2(4x + 1) Remove parenthesis around (3 + 2x) 3 + 2x + -1(4x + 7) = 5 + 2(4x + 1) Reorder the terms: 3 + 2x + -1(7 + 4x) = 5 + 2(4x + 1) 3 + 2x + (7 * -1 + 4x * -1) = 5 + 2(4x + 1) 3 + 2x + (-7 + -4x) = 5 + 2(4x + 1) Reorder the terms: 3 + -7 + 2x + -4x = 5 + 2(4x + 1) Combine like terms: 3 + -7 = -4 -4 + 2x + -4x = 5 + 2(4x + 1) Combine like terms: 2x + -4x = -2x -4 + -2x = 5 + 2(4x + 1) Reorder the terms: -4 + -2x = 5 + 2(1 + 4x) -4 + -2x = 5 + (1 * 2 + 4x * 2) -4 + -2x = 5 + (2 + 8x) Combine like terms: 5 + 2 = 7 -4 + -2x = 7 + 8x Solving -4 + -2x = 7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -4 + -2x + -8x = 7 + 8x + -8x Combine like terms: -2x + -8x = -10x -4 + -10x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + -10x = 7 + 0 -4 + -10x = 7 Add '4' to each side of the equation. -4 + 4 + -10x = 7 + 4 Combine like terms: -4 + 4 = 0 0 + -10x = 7 + 4 -10x = 7 + 4 Combine like terms: 7 + 4 = 11 -10x = 11 Divide each side by '-10'. x = -1.1 Simplifying x = -1.1
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