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Simplifying 7x + -2(4 + x) = 4(x + 3) + 3(2x + 7) 7x + (4 * -2 + x * -2) = 4(x + 3) + 3(2x + 7) 7x + (-8 + -2x) = 4(x + 3) + 3(2x + 7) Reorder the terms: -8 + 7x + -2x = 4(x + 3) + 3(2x + 7) Combine like terms: 7x + -2x = 5x -8 + 5x = 4(x + 3) + 3(2x + 7) Reorder the terms: -8 + 5x = 4(3 + x) + 3(2x + 7) -8 + 5x = (3 * 4 + x * 4) + 3(2x + 7) -8 + 5x = (12 + 4x) + 3(2x + 7) Reorder the terms: -8 + 5x = 12 + 4x + 3(7 + 2x) -8 + 5x = 12 + 4x + (7 * 3 + 2x * 3) -8 + 5x = 12 + 4x + (21 + 6x) Reorder the terms: -8 + 5x = 12 + 21 + 4x + 6x Combine like terms: 12 + 21 = 33 -8 + 5x = 33 + 4x + 6x Combine like terms: 4x + 6x = 10x -8 + 5x = 33 + 10x Solving -8 + 5x = 33 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -8 + 5x + -10x = 33 + 10x + -10x Combine like terms: 5x + -10x = -5x -8 + -5x = 33 + 10x + -10x Combine like terms: 10x + -10x = 0 -8 + -5x = 33 + 0 -8 + -5x = 33 Add '8' to each side of the equation. -8 + 8 + -5x = 33 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 33 + 8 -5x = 33 + 8 Combine like terms: 33 + 8 = 41 -5x = 41 Divide each side by '-5'. x = -8.2 Simplifying x = -8.2
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