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Simplifying 5x + 3(x + -9) = 4(x + 1) + -2 Reorder the terms: 5x + 3(-9 + x) = 4(x + 1) + -2 5x + (-9 * 3 + x * 3) = 4(x + 1) + -2 5x + (-27 + 3x) = 4(x + 1) + -2 Reorder the terms: -27 + 5x + 3x = 4(x + 1) + -2 Combine like terms: 5x + 3x = 8x -27 + 8x = 4(x + 1) + -2 Reorder the terms: -27 + 8x = 4(1 + x) + -2 -27 + 8x = (1 * 4 + x * 4) + -2 -27 + 8x = (4 + 4x) + -2 Reorder the terms: -27 + 8x = 4 + -2 + 4x Combine like terms: 4 + -2 = 2 -27 + 8x = 2 + 4x Solving -27 + 8x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -27 + 8x + -4x = 2 + 4x + -4x Combine like terms: 8x + -4x = 4x -27 + 4x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -27 + 4x = 2 + 0 -27 + 4x = 2 Add '27' to each side of the equation. -27 + 27 + 4x = 2 + 27 Combine like terms: -27 + 27 = 0 0 + 4x = 2 + 27 4x = 2 + 27 Combine like terms: 2 + 27 = 29 4x = 29 Divide each side by '4'. x = 7.25 Simplifying x = 7.25
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