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Simplifying 4(x + 5) + -20 = -3(x + -3) + 47 Reorder the terms: 4(5 + x) + -20 = -3(x + -3) + 47 (5 * 4 + x * 4) + -20 = -3(x + -3) + 47 (20 + 4x) + -20 = -3(x + -3) + 47 Reorder the terms: 20 + -20 + 4x = -3(x + -3) + 47 Combine like terms: 20 + -20 = 0 0 + 4x = -3(x + -3) + 47 4x = -3(x + -3) + 47 Reorder the terms: 4x = -3(-3 + x) + 47 4x = (-3 * -3 + x * -3) + 47 4x = (9 + -3x) + 47 Reorder the terms: 4x = 9 + 47 + -3x Combine like terms: 9 + 47 = 56 4x = 56 + -3x Solving 4x = 56 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4x + 3x = 56 + -3x + 3x Combine like terms: 4x + 3x = 7x 7x = 56 + -3x + 3x Combine like terms: -3x + 3x = 0 7x = 56 + 0 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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