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Simplifying 4(x + 5) + -20 = -3(x + -7) + 28 Reorder the terms: 4(5 + x) + -20 = -3(x + -7) + 28 (5 * 4 + x * 4) + -20 = -3(x + -7) + 28 (20 + 4x) + -20 = -3(x + -7) + 28 Reorder the terms: 20 + -20 + 4x = -3(x + -7) + 28 Combine like terms: 20 + -20 = 0 0 + 4x = -3(x + -7) + 28 4x = -3(x + -7) + 28 Reorder the terms: 4x = -3(-7 + x) + 28 4x = (-7 * -3 + x * -3) + 28 4x = (21 + -3x) + 28 Reorder the terms: 4x = 21 + 28 + -3x Combine like terms: 21 + 28 = 49 4x = 49 + -3x Solving 4x = 49 + -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 = 49 + -3x + 3x Combine like terms: 4x + 3x = 7x 7x = 49 + -3x + 3x Combine like terms: -3x + 3x = 0 7x = 49 + 0 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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