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Simplifying 5x + -4(2x + 3) = x + 2(3x + 4) Reorder the terms: 5x + -4(3 + 2x) = x + 2(3x + 4) 5x + (3 * -4 + 2x * -4) = x + 2(3x + 4) 5x + (-12 + -8x) = x + 2(3x + 4) Reorder the terms: -12 + 5x + -8x = x + 2(3x + 4) Combine like terms: 5x + -8x = -3x -12 + -3x = x + 2(3x + 4) Reorder the terms: -12 + -3x = x + 2(4 + 3x) -12 + -3x = x + (4 * 2 + 3x * 2) -12 + -3x = x + (8 + 6x) Reorder the terms: -12 + -3x = 8 + x + 6x Combine like terms: x + 6x = 7x -12 + -3x = 8 + 7x Solving -12 + -3x = 8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12 + -3x + -7x = 8 + 7x + -7x Combine like terms: -3x + -7x = -10x -12 + -10x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + -10x = 8 + 0 -12 + -10x = 8 Add '12' to each side of the equation. -12 + 12 + -10x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -10x = 8 + 12 -10x = 8 + 12 Combine like terms: 8 + 12 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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