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Simplifying 5x + -4(3 + -2x) = 4(x + -5) + -28 5x + (3 * -4 + -2x * -4) = 4(x + -5) + -28 5x + (-12 + 8x) = 4(x + -5) + -28 Reorder the terms: -12 + 5x + 8x = 4(x + -5) + -28 Combine like terms: 5x + 8x = 13x -12 + 13x = 4(x + -5) + -28 Reorder the terms: -12 + 13x = 4(-5 + x) + -28 -12 + 13x = (-5 * 4 + x * 4) + -28 -12 + 13x = (-20 + 4x) + -28 Reorder the terms: -12 + 13x = -20 + -28 + 4x Combine like terms: -20 + -28 = -48 -12 + 13x = -48 + 4x Solving -12 + 13x = -48 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 13x + -4x = -48 + 4x + -4x Combine like terms: 13x + -4x = 9x -12 + 9x = -48 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 9x = -48 + 0 -12 + 9x = -48 Add '12' to each side of the equation. -12 + 12 + 9x = -48 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = -48 + 12 9x = -48 + 12 Combine like terms: -48 + 12 = -36 9x = -36 Divide each side by '9'. x = -4 Simplifying x = -4
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