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Simplifying -3(-3x + -4) = 4(x + 2) + -2(x + 8) + -1 Reorder the terms: -3(-4 + -3x) = 4(x + 2) + -2(x + 8) + -1 (-4 * -3 + -3x * -3) = 4(x + 2) + -2(x + 8) + -1 (12 + 9x) = 4(x + 2) + -2(x + 8) + -1 Reorder the terms: 12 + 9x = 4(2 + x) + -2(x + 8) + -1 12 + 9x = (2 * 4 + x * 4) + -2(x + 8) + -1 12 + 9x = (8 + 4x) + -2(x + 8) + -1 Reorder the terms: 12 + 9x = 8 + 4x + -2(8 + x) + -1 12 + 9x = 8 + 4x + (8 * -2 + x * -2) + -1 12 + 9x = 8 + 4x + (-16 + -2x) + -1 Reorder the terms: 12 + 9x = 8 + -16 + -1 + 4x + -2x Combine like terms: 8 + -16 = -8 12 + 9x = -8 + -1 + 4x + -2x Combine like terms: -8 + -1 = -9 12 + 9x = -9 + 4x + -2x Combine like terms: 4x + -2x = 2x 12 + 9x = -9 + 2x Solving 12 + 9x = -9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + 9x + -2x = -9 + 2x + -2x Combine like terms: 9x + -2x = 7x 12 + 7x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 7x = -9 + 0 12 + 7x = -9 Add '-12' to each side of the equation. 12 + -12 + 7x = -9 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = -9 + -12 7x = -9 + -12 Combine like terms: -9 + -12 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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