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Simplifying 7(x + -3) + -1(6 + -2x) = -3x + -2(5 + -1x) Reorder the terms: 7(-3 + x) + -1(6 + -2x) = -3x + -2(5 + -1x) (-3 * 7 + x * 7) + -1(6 + -2x) = -3x + -2(5 + -1x) (-21 + 7x) + -1(6 + -2x) = -3x + -2(5 + -1x) -21 + 7x + (6 * -1 + -2x * -1) = -3x + -2(5 + -1x) -21 + 7x + (-6 + 2x) = -3x + -2(5 + -1x) Reorder the terms: -21 + -6 + 7x + 2x = -3x + -2(5 + -1x) Combine like terms: -21 + -6 = -27 -27 + 7x + 2x = -3x + -2(5 + -1x) Combine like terms: 7x + 2x = 9x -27 + 9x = -3x + -2(5 + -1x) -27 + 9x = -3x + (5 * -2 + -1x * -2) -27 + 9x = -3x + (-10 + 2x) Reorder the terms: -27 + 9x = -10 + -3x + 2x Combine like terms: -3x + 2x = -1x -27 + 9x = -10 + -1x Solving -27 + 9x = -10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -27 + 9x + x = -10 + -1x + x Combine like terms: 9x + x = 10x -27 + 10x = -10 + -1x + x Combine like terms: -1x + x = 0 -27 + 10x = -10 + 0 -27 + 10x = -10 Add '27' to each side of the equation. -27 + 27 + 10x = -10 + 27 Combine like terms: -27 + 27 = 0 0 + 10x = -10 + 27 10x = -10 + 27 Combine like terms: -10 + 27 = 17 10x = 17 Divide each side by '10'. x = 1.7 Simplifying x = 1.7
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