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Simplifying 4(3x + -4) = 11x + -3(x + 4) Reorder the terms: 4(-4 + 3x) = 11x + -3(x + 4) (-4 * 4 + 3x * 4) = 11x + -3(x + 4) (-16 + 12x) = 11x + -3(x + 4) Reorder the terms: -16 + 12x = 11x + -3(4 + x) -16 + 12x = 11x + (4 * -3 + x * -3) -16 + 12x = 11x + (-12 + -3x) Reorder the terms: -16 + 12x = -12 + 11x + -3x Combine like terms: 11x + -3x = 8x -16 + 12x = -12 + 8x Solving -16 + 12x = -12 + 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. -16 + 12x + -8x = -12 + 8x + -8x Combine like terms: 12x + -8x = 4x -16 + 4x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 -16 + 4x = -12 + 0 -16 + 4x = -12 Add '16' to each side of the equation. -16 + 16 + 4x = -12 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = -12 + 16 4x = -12 + 16 Combine like terms: -12 + 16 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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