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Simplifying 4(x + -3) + -5(4x + -3) = -13 Reorder the terms: 4(-3 + x) + -5(4x + -3) = -13 (-3 * 4 + x * 4) + -5(4x + -3) = -13 (-12 + 4x) + -5(4x + -3) = -13 Reorder the terms: -12 + 4x + -5(-3 + 4x) = -13 -12 + 4x + (-3 * -5 + 4x * -5) = -13 -12 + 4x + (15 + -20x) = -13 Reorder the terms: -12 + 15 + 4x + -20x = -13 Combine like terms: -12 + 15 = 3 3 + 4x + -20x = -13 Combine like terms: 4x + -20x = -16x 3 + -16x = -13 Solving 3 + -16x = -13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -16x = -13 + -3 Combine like terms: 3 + -3 = 0 0 + -16x = -13 + -3 -16x = -13 + -3 Combine like terms: -13 + -3 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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