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Simplifying -28 + 4x = 6(7x + 8) Reorder the terms: -28 + 4x = 6(8 + 7x) -28 + 4x = (8 * 6 + 7x * 6) -28 + 4x = (48 + 42x) Solving -28 + 4x = 48 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -28 + 4x + -42x = 48 + 42x + -42x Combine like terms: 4x + -42x = -38x -28 + -38x = 48 + 42x + -42x Combine like terms: 42x + -42x = 0 -28 + -38x = 48 + 0 -28 + -38x = 48 Add '28' to each side of the equation. -28 + 28 + -38x = 48 + 28 Combine like terms: -28 + 28 = 0 0 + -38x = 48 + 28 -38x = 48 + 28 Combine like terms: 48 + 28 = 76 -38x = 76 Divide each side by '-38'. x = -2 Simplifying x = -2
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