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Simplifying 4(2x + -1) + 3(5x + -8) = x + -9 Reorder the terms: 4(-1 + 2x) + 3(5x + -8) = x + -9 (-1 * 4 + 2x * 4) + 3(5x + -8) = x + -9 (-4 + 8x) + 3(5x + -8) = x + -9 Reorder the terms: -4 + 8x + 3(-8 + 5x) = x + -9 -4 + 8x + (-8 * 3 + 5x * 3) = x + -9 -4 + 8x + (-24 + 15x) = x + -9 Reorder the terms: -4 + -24 + 8x + 15x = x + -9 Combine like terms: -4 + -24 = -28 -28 + 8x + 15x = x + -9 Combine like terms: 8x + 15x = 23x -28 + 23x = x + -9 Reorder the terms: -28 + 23x = -9 + x Solving -28 + 23x = -9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -28 + 23x + -1x = -9 + x + -1x Combine like terms: 23x + -1x = 22x -28 + 22x = -9 + x + -1x Combine like terms: x + -1x = 0 -28 + 22x = -9 + 0 -28 + 22x = -9 Add '28' to each side of the equation. -28 + 28 + 22x = -9 + 28 Combine like terms: -28 + 28 = 0 0 + 22x = -9 + 28 22x = -9 + 28 Combine like terms: -9 + 28 = 19 22x = 19 Divide each side by '22'. x = 0.8636363636 Simplifying x = 0.8636363636
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