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Simplifying 3x + -4(x + 5) + -7 = 3 + 2(4 + -2x) + 16 Reorder the terms: 3x + -4(5 + x) + -7 = 3 + 2(4 + -2x) + 16 3x + (5 * -4 + x * -4) + -7 = 3 + 2(4 + -2x) + 16 3x + (-20 + -4x) + -7 = 3 + 2(4 + -2x) + 16 Reorder the terms: -20 + -7 + 3x + -4x = 3 + 2(4 + -2x) + 16 Combine like terms: -20 + -7 = -27 -27 + 3x + -4x = 3 + 2(4 + -2x) + 16 Combine like terms: 3x + -4x = -1x -27 + -1x = 3 + 2(4 + -2x) + 16 -27 + -1x = 3 + (4 * 2 + -2x * 2) + 16 -27 + -1x = 3 + (8 + -4x) + 16 Reorder the terms: -27 + -1x = 3 + 8 + 16 + -4x Combine like terms: 3 + 8 = 11 -27 + -1x = 11 + 16 + -4x Combine like terms: 11 + 16 = 27 -27 + -1x = 27 + -4x Solving -27 + -1x = 27 + -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. -27 + -1x + 4x = 27 + -4x + 4x Combine like terms: -1x + 4x = 3x -27 + 3x = 27 + -4x + 4x Combine like terms: -4x + 4x = 0 -27 + 3x = 27 + 0 -27 + 3x = 27 Add '27' to each side of the equation. -27 + 27 + 3x = 27 + 27 Combine like terms: -27 + 27 = 0 0 + 3x = 27 + 27 3x = 27 + 27 Combine like terms: 27 + 27 = 54 3x = 54 Divide each side by '3'. x = 18 Simplifying x = 18
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