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Simplifying 4(x + -3) = 13 + -5(4x + 1) Reorder the terms: 4(-3 + x) = 13 + -5(4x + 1) (-3 * 4 + x * 4) = 13 + -5(4x + 1) (-12 + 4x) = 13 + -5(4x + 1) Reorder the terms: -12 + 4x = 13 + -5(1 + 4x) -12 + 4x = 13 + (1 * -5 + 4x * -5) -12 + 4x = 13 + (-5 + -20x) Combine like terms: 13 + -5 = 8 -12 + 4x = 8 + -20x Solving -12 + 4x = 8 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -12 + 4x + 20x = 8 + -20x + 20x Combine like terms: 4x + 20x = 24x -12 + 24x = 8 + -20x + 20x Combine like terms: -20x + 20x = 0 -12 + 24x = 8 + 0 -12 + 24x = 8 Add '12' to each side of the equation. -12 + 12 + 24x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 24x = 8 + 12 24x = 8 + 12 Combine like terms: 8 + 12 = 20 24x = 20 Divide each side by '24'. x = 0.8333333333 Simplifying x = 0.8333333333
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