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Simplifying -10x + -3(9 + -1x) = 4(-2x + 5) -10x + (9 * -3 + -1x * -3) = 4(-2x + 5) -10x + (-27 + 3x) = 4(-2x + 5) Reorder the terms: -27 + -10x + 3x = 4(-2x + 5) Combine like terms: -10x + 3x = -7x -27 + -7x = 4(-2x + 5) Reorder the terms: -27 + -7x = 4(5 + -2x) -27 + -7x = (5 * 4 + -2x * 4) -27 + -7x = (20 + -8x) Solving -27 + -7x = 20 + -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. -27 + -7x + 8x = 20 + -8x + 8x Combine like terms: -7x + 8x = 1x -27 + 1x = 20 + -8x + 8x Combine like terms: -8x + 8x = 0 -27 + 1x = 20 + 0 -27 + 1x = 20 Add '27' to each side of the equation. -27 + 27 + 1x = 20 + 27 Combine like terms: -27 + 27 = 0 0 + 1x = 20 + 27 1x = 20 + 27 Combine like terms: 20 + 27 = 47 1x = 47 Divide each side by '1'. x = 47 Simplifying x = 47
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