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Simplifying 2(x + -8) + 3(x + 4) = 4(x + -8) + 9 Reorder the terms: 2(-8 + x) + 3(x + 4) = 4(x + -8) + 9 (-8 * 2 + x * 2) + 3(x + 4) = 4(x + -8) + 9 (-16 + 2x) + 3(x + 4) = 4(x + -8) + 9 Reorder the terms: -16 + 2x + 3(4 + x) = 4(x + -8) + 9 -16 + 2x + (4 * 3 + x * 3) = 4(x + -8) + 9 -16 + 2x + (12 + 3x) = 4(x + -8) + 9 Reorder the terms: -16 + 12 + 2x + 3x = 4(x + -8) + 9 Combine like terms: -16 + 12 = -4 -4 + 2x + 3x = 4(x + -8) + 9 Combine like terms: 2x + 3x = 5x -4 + 5x = 4(x + -8) + 9 Reorder the terms: -4 + 5x = 4(-8 + x) + 9 -4 + 5x = (-8 * 4 + x * 4) + 9 -4 + 5x = (-32 + 4x) + 9 Reorder the terms: -4 + 5x = -32 + 9 + 4x Combine like terms: -32 + 9 = -23 -4 + 5x = -23 + 4x Solving -4 + 5x = -23 + 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. -4 + 5x + -4x = -23 + 4x + -4x Combine like terms: 5x + -4x = 1x -4 + 1x = -23 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 1x = -23 + 0 -4 + 1x = -23 Add '4' to each side of the equation. -4 + 4 + 1x = -23 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = -23 + 4 1x = -23 + 4 Combine like terms: -23 + 4 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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