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Simplifying 5(2x + -4) + -3(x + 8) = 5 + -1(x + -2) Reorder the terms: 5(-4 + 2x) + -3(x + 8) = 5 + -1(x + -2) (-4 * 5 + 2x * 5) + -3(x + 8) = 5 + -1(x + -2) (-20 + 10x) + -3(x + 8) = 5 + -1(x + -2) Reorder the terms: -20 + 10x + -3(8 + x) = 5 + -1(x + -2) -20 + 10x + (8 * -3 + x * -3) = 5 + -1(x + -2) -20 + 10x + (-24 + -3x) = 5 + -1(x + -2) Reorder the terms: -20 + -24 + 10x + -3x = 5 + -1(x + -2) Combine like terms: -20 + -24 = -44 -44 + 10x + -3x = 5 + -1(x + -2) Combine like terms: 10x + -3x = 7x -44 + 7x = 5 + -1(x + -2) Reorder the terms: -44 + 7x = 5 + -1(-2 + x) -44 + 7x = 5 + (-2 * -1 + x * -1) -44 + 7x = 5 + (2 + -1x) Combine like terms: 5 + 2 = 7 -44 + 7x = 7 + -1x Solving -44 + 7x = 7 + -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. -44 + 7x + x = 7 + -1x + x Combine like terms: 7x + x = 8x -44 + 8x = 7 + -1x + x Combine like terms: -1x + x = 0 -44 + 8x = 7 + 0 -44 + 8x = 7 Add '44' to each side of the equation. -44 + 44 + 8x = 7 + 44 Combine like terms: -44 + 44 = 0 0 + 8x = 7 + 44 8x = 7 + 44 Combine like terms: 7 + 44 = 51 8x = 51 Divide each side by '8'. x = 6.375 Simplifying x = 6.375
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