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Simplifying -6(x + 4) + 2x + 7 = 7x + 10 Reorder the terms: -6(4 + x) + 2x + 7 = 7x + 10 (4 * -6 + x * -6) + 2x + 7 = 7x + 10 (-24 + -6x) + 2x + 7 = 7x + 10 Reorder the terms: -24 + 7 + -6x + 2x = 7x + 10 Combine like terms: -24 + 7 = -17 -17 + -6x + 2x = 7x + 10 Combine like terms: -6x + 2x = -4x -17 + -4x = 7x + 10 Reorder the terms: -17 + -4x = 10 + 7x Solving -17 + -4x = 10 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -17 + -4x + -7x = 10 + 7x + -7x Combine like terms: -4x + -7x = -11x -17 + -11x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 -17 + -11x = 10 + 0 -17 + -11x = 10 Add '17' to each side of the equation. -17 + 17 + -11x = 10 + 17 Combine like terms: -17 + 17 = 0 0 + -11x = 10 + 17 -11x = 10 + 17 Combine like terms: 10 + 17 = 27 -11x = 27 Divide each side by '-11'. x = -2.454545455 Simplifying x = -2.454545455
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