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Simplifying 4(x + -3) + -1(x + 4) * x + 4x = 5x + -1x2 Reorder the terms: 4(-3 + x) + -1(x + 4) * x + 4x = 5x + -1x2 (-3 * 4 + x * 4) + -1(x + 4) * x + 4x = 5x + -1x2 (-12 + 4x) + -1(x + 4) * x + 4x = 5x + -1x2 Reorder the terms: -12 + 4x + -1(4 + x) * x + 4x = 5x + -1x2 Reorder the terms for easier multiplication: -12 + 4x + -1x(4 + x) + 4x = 5x + -1x2 -12 + 4x + (4 * -1x + x * -1x) + 4x = 5x + -1x2 -12 + 4x + (-4x + -1x2) + 4x = 5x + -1x2 Reorder the terms: -12 + 4x + -4x + 4x + -1x2 = 5x + -1x2 Combine like terms: 4x + -4x = 0 -12 + 0 + 4x + -1x2 = 5x + -1x2 -12 + 4x + -1x2 = 5x + -1x2 Add 'x2' to each side of the equation. -12 + 4x + -1x2 + x2 = 5x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -12 + 4x + 0 = 5x + -1x2 + x2 -12 + 4x = 5x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -12 + 4x = 5x + 0 -12 + 4x = 5x Solving -12 + 4x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 4x + -5x = 5x + -5x Combine like terms: 4x + -5x = -1x -12 + -1x = 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -1x = 0 Add '12' to each side of the equation. -12 + 12 + -1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 0 + 12 -1x = 0 + 12 Combine like terms: 0 + 12 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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