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Simplifying 5 + 4(2x + -7) = 5 + -6x Reorder the terms: 5 + 4(-7 + 2x) = 5 + -6x 5 + (-7 * 4 + 2x * 4) = 5 + -6x 5 + (-28 + 8x) = 5 + -6x Combine like terms: 5 + -28 = -23 -23 + 8x = 5 + -6x Solving -23 + 8x = 5 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -23 + 8x + 6x = 5 + -6x + 6x Combine like terms: 8x + 6x = 14x -23 + 14x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 -23 + 14x = 5 + 0 -23 + 14x = 5 Add '23' to each side of the equation. -23 + 23 + 14x = 5 + 23 Combine like terms: -23 + 23 = 0 0 + 14x = 5 + 23 14x = 5 + 23 Combine like terms: 5 + 23 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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