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Simplifying 10x + -4(2x + 3) = 5 + -3(x + -1) Reorder the terms: 10x + -4(3 + 2x) = 5 + -3(x + -1) 10x + (3 * -4 + 2x * -4) = 5 + -3(x + -1) 10x + (-12 + -8x) = 5 + -3(x + -1) Reorder the terms: -12 + 10x + -8x = 5 + -3(x + -1) Combine like terms: 10x + -8x = 2x -12 + 2x = 5 + -3(x + -1) Reorder the terms: -12 + 2x = 5 + -3(-1 + x) -12 + 2x = 5 + (-1 * -3 + x * -3) -12 + 2x = 5 + (3 + -3x) Combine like terms: 5 + 3 = 8 -12 + 2x = 8 + -3x Solving -12 + 2x = 8 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -12 + 2x + 3x = 8 + -3x + 3x Combine like terms: 2x + 3x = 5x -12 + 5x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 5x = 8 + 0 -12 + 5x = 8 Add '12' to each side of the equation. -12 + 12 + 5x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 8 + 12 5x = 8 + 12 Combine like terms: 8 + 12 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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