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Simplifying -29 + 4x = 4 + -5(4x + -3) Reorder the terms: -29 + 4x = 4 + -5(-3 + 4x) -29 + 4x = 4 + (-3 * -5 + 4x * -5) -29 + 4x = 4 + (15 + -20x) Combine like terms: 4 + 15 = 19 -29 + 4x = 19 + -20x Solving -29 + 4x = 19 + -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. -29 + 4x + 20x = 19 + -20x + 20x Combine like terms: 4x + 20x = 24x -29 + 24x = 19 + -20x + 20x Combine like terms: -20x + 20x = 0 -29 + 24x = 19 + 0 -29 + 24x = 19 Add '29' to each side of the equation. -29 + 29 + 24x = 19 + 29 Combine like terms: -29 + 29 = 0 0 + 24x = 19 + 29 24x = 19 + 29 Combine like terms: 19 + 29 = 48 24x = 48 Divide each side by '24'. x = 2 Simplifying x = 2
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