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Simplifying 4(x + -7) + 5x = 28 + 2x Reorder the terms: 4(-7 + x) + 5x = 28 + 2x (-7 * 4 + x * 4) + 5x = 28 + 2x (-28 + 4x) + 5x = 28 + 2x Combine like terms: 4x + 5x = 9x -28 + 9x = 28 + 2x Solving -28 + 9x = 28 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -28 + 9x + -2x = 28 + 2x + -2x Combine like terms: 9x + -2x = 7x -28 + 7x = 28 + 2x + -2x Combine like terms: 2x + -2x = 0 -28 + 7x = 28 + 0 -28 + 7x = 28 Add '28' to each side of the equation. -28 + 28 + 7x = 28 + 28 Combine like terms: -28 + 28 = 0 0 + 7x = 28 + 28 7x = 28 + 28 Combine like terms: 28 + 28 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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