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Simplifying 5(x + -7) + 6x + 7 = 6x + -103 Reorder the terms: 5(-7 + x) + 6x + 7 = 6x + -103 (-7 * 5 + x * 5) + 6x + 7 = 6x + -103 (-35 + 5x) + 6x + 7 = 6x + -103 Reorder the terms: -35 + 7 + 5x + 6x = 6x + -103 Combine like terms: -35 + 7 = -28 -28 + 5x + 6x = 6x + -103 Combine like terms: 5x + 6x = 11x -28 + 11x = 6x + -103 Reorder the terms: -28 + 11x = -103 + 6x Solving -28 + 11x = -103 + 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. -28 + 11x + -6x = -103 + 6x + -6x Combine like terms: 11x + -6x = 5x -28 + 5x = -103 + 6x + -6x Combine like terms: 6x + -6x = 0 -28 + 5x = -103 + 0 -28 + 5x = -103 Add '28' to each side of the equation. -28 + 28 + 5x = -103 + 28 Combine like terms: -28 + 28 = 0 0 + 5x = -103 + 28 5x = -103 + 28 Combine like terms: -103 + 28 = -75 5x = -75 Divide each side by '5'. x = -15 Simplifying x = -15
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