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Simplifying 5x + -3(x + 2) = 3 + -4(2x + 7) Reorder the terms: 5x + -3(2 + x) = 3 + -4(2x + 7) 5x + (2 * -3 + x * -3) = 3 + -4(2x + 7) 5x + (-6 + -3x) = 3 + -4(2x + 7) Reorder the terms: -6 + 5x + -3x = 3 + -4(2x + 7) Combine like terms: 5x + -3x = 2x -6 + 2x = 3 + -4(2x + 7) Reorder the terms: -6 + 2x = 3 + -4(7 + 2x) -6 + 2x = 3 + (7 * -4 + 2x * -4) -6 + 2x = 3 + (-28 + -8x) Combine like terms: 3 + -28 = -25 -6 + 2x = -25 + -8x Solving -6 + 2x = -25 + -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. -6 + 2x + 8x = -25 + -8x + 8x Combine like terms: 2x + 8x = 10x -6 + 10x = -25 + -8x + 8x Combine like terms: -8x + 8x = 0 -6 + 10x = -25 + 0 -6 + 10x = -25 Add '6' to each side of the equation. -6 + 6 + 10x = -25 + 6 Combine like terms: -6 + 6 = 0 0 + 10x = -25 + 6 10x = -25 + 6 Combine like terms: -25 + 6 = -19 10x = -19 Divide each side by '10'. x = -1.9 Simplifying x = -1.9
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