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Simplifying 2(4x + -5) + 8 = 3(3x + -3) + 11 Reorder the terms: 2(-5 + 4x) + 8 = 3(3x + -3) + 11 (-5 * 2 + 4x * 2) + 8 = 3(3x + -3) + 11 (-10 + 8x) + 8 = 3(3x + -3) + 11 Reorder the terms: -10 + 8 + 8x = 3(3x + -3) + 11 Combine like terms: -10 + 8 = -2 -2 + 8x = 3(3x + -3) + 11 Reorder the terms: -2 + 8x = 3(-3 + 3x) + 11 -2 + 8x = (-3 * 3 + 3x * 3) + 11 -2 + 8x = (-9 + 9x) + 11 Reorder the terms: -2 + 8x = -9 + 11 + 9x Combine like terms: -9 + 11 = 2 -2 + 8x = 2 + 9x Solving -2 + 8x = 2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -2 + 8x + -9x = 2 + 9x + -9x Combine like terms: 8x + -9x = -1x -2 + -1x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + -1x = 2 + 0 -2 + -1x = 2 Add '2' to each side of the equation. -2 + 2 + -1x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 2 + 2 -1x = 2 + 2 Combine like terms: 2 + 2 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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