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Simplifying 10 + -4(2x + 3) = 5 + -3(x + -1) Reorder the terms: 10 + -4(3 + 2x) = 5 + -3(x + -1) 10 + (3 * -4 + 2x * -4) = 5 + -3(x + -1) 10 + (-12 + -8x) = 5 + -3(x + -1) Combine like terms: 10 + -12 = -2 -2 + -8x = 5 + -3(x + -1) Reorder the terms: -2 + -8x = 5 + -3(-1 + x) -2 + -8x = 5 + (-1 * -3 + x * -3) -2 + -8x = 5 + (3 + -3x) Combine like terms: 5 + 3 = 8 -2 + -8x = 8 + -3x Solving -2 + -8x = 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. -2 + -8x + 3x = 8 + -3x + 3x Combine like terms: -8x + 3x = -5x -2 + -5x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + -5x = 8 + 0 -2 + -5x = 8 Add '2' to each side of the equation. -2 + 2 + -5x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 8 + 2 -5x = 8 + 2 Combine like terms: 8 + 2 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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