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Simplifying 1 + -4 + -10(8 + 3x) = 3(-4 + -3x) + -4(3x + 8) 1 + -4 + (8 * -10 + 3x * -10) = 3(-4 + -3x) + -4(3x + 8) 1 + -4 + (-80 + -30x) = 3(-4 + -3x) + -4(3x + 8) Combine like terms: 1 + -4 = -3 -3 + -80 + -30x = 3(-4 + -3x) + -4(3x + 8) Combine like terms: -3 + -80 = -83 -83 + -30x = 3(-4 + -3x) + -4(3x + 8) -83 + -30x = (-4 * 3 + -3x * 3) + -4(3x + 8) -83 + -30x = (-12 + -9x) + -4(3x + 8) Reorder the terms: -83 + -30x = -12 + -9x + -4(8 + 3x) -83 + -30x = -12 + -9x + (8 * -4 + 3x * -4) -83 + -30x = -12 + -9x + (-32 + -12x) Reorder the terms: -83 + -30x = -12 + -32 + -9x + -12x Combine like terms: -12 + -32 = -44 -83 + -30x = -44 + -9x + -12x Combine like terms: -9x + -12x = -21x -83 + -30x = -44 + -21x Solving -83 + -30x = -44 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -83 + -30x + 21x = -44 + -21x + 21x Combine like terms: -30x + 21x = -9x -83 + -9x = -44 + -21x + 21x Combine like terms: -21x + 21x = 0 -83 + -9x = -44 + 0 -83 + -9x = -44 Add '83' to each side of the equation. -83 + 83 + -9x = -44 + 83 Combine like terms: -83 + 83 = 0 0 + -9x = -44 + 83 -9x = -44 + 83 Combine like terms: -44 + 83 = 39 -9x = 39 Divide each side by '-9'. x = -4.333333333 Simplifying x = -4.333333333
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