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Simplifying 4(x + -3) = -8(x + 4) + 35 Reorder the terms: 4(-3 + x) = -8(x + 4) + 35 (-3 * 4 + x * 4) = -8(x + 4) + 35 (-12 + 4x) = -8(x + 4) + 35 Reorder the terms: -12 + 4x = -8(4 + x) + 35 -12 + 4x = (4 * -8 + x * -8) + 35 -12 + 4x = (-32 + -8x) + 35 Reorder the terms: -12 + 4x = -32 + 35 + -8x Combine like terms: -32 + 35 = 3 -12 + 4x = 3 + -8x Solving -12 + 4x = 3 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -12 + 4x + 8x = 3 + -8x + 8x Combine like terms: 4x + 8x = 12x -12 + 12x = 3 + -8x + 8x Combine like terms: -8x + 8x = 0 -12 + 12x = 3 + 0 -12 + 12x = 3 Add '12' to each side of the equation. -12 + 12 + 12x = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = 3 + 12 12x = 3 + 12 Combine like terms: 3 + 12 = 15 12x = 15 Divide each side by '12'. x = 1.25 Simplifying x = 1.25
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