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Simplifying 75 = 15x + -6(x + 7) Reorder the terms: 75 = 15x + -6(7 + x) 75 = 15x + (7 * -6 + x * -6) 75 = 15x + (-42 + -6x) Reorder the terms: 75 = -42 + 15x + -6x Combine like terms: 15x + -6x = 9x 75 = -42 + 9x Solving 75 = -42 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 75 + -9x = -42 + 9x + -9x Combine like terms: 9x + -9x = 0 75 + -9x = -42 + 0 75 + -9x = -42 Add '-75' to each side of the equation. 75 + -75 + -9x = -42 + -75 Combine like terms: 75 + -75 = 0 0 + -9x = -42 + -75 -9x = -42 + -75 Combine like terms: -42 + -75 = -117 -9x = -117 Divide each side by '-9'. x = 13 Simplifying x = 13
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