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Simplifying 2x + 5 + -4(8x + -4) = -3(x + -3) Reorder the terms: 2x + 5 + -4(-4 + 8x) = -3(x + -3) 2x + 5 + (-4 * -4 + 8x * -4) = -3(x + -3) 2x + 5 + (16 + -32x) = -3(x + -3) Reorder the terms: 5 + 16 + 2x + -32x = -3(x + -3) Combine like terms: 5 + 16 = 21 21 + 2x + -32x = -3(x + -3) Combine like terms: 2x + -32x = -30x 21 + -30x = -3(x + -3) Reorder the terms: 21 + -30x = -3(-3 + x) 21 + -30x = (-3 * -3 + x * -3) 21 + -30x = (9 + -3x) Solving 21 + -30x = 9 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 21 + -30x + 3x = 9 + -3x + 3x Combine like terms: -30x + 3x = -27x 21 + -27x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 21 + -27x = 9 + 0 21 + -27x = 9 Add '-21' to each side of the equation. 21 + -21 + -27x = 9 + -21 Combine like terms: 21 + -21 = 0 0 + -27x = 9 + -21 -27x = 9 + -21 Combine like terms: 9 + -21 = -12 -27x = -12 Divide each side by '-27'. x = 0.4444444444 Simplifying x = 0.4444444444
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