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Simplifying -8(x + 4) + 2x + 6 = 7x + 10 Reorder the terms: -8(4 + x) + 2x + 6 = 7x + 10 (4 * -8 + x * -8) + 2x + 6 = 7x + 10 (-32 + -8x) + 2x + 6 = 7x + 10 Reorder the terms: -32 + 6 + -8x + 2x = 7x + 10 Combine like terms: -32 + 6 = -26 -26 + -8x + 2x = 7x + 10 Combine like terms: -8x + 2x = -6x -26 + -6x = 7x + 10 Reorder the terms: -26 + -6x = 10 + 7x Solving -26 + -6x = 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. -26 + -6x + -7x = 10 + 7x + -7x Combine like terms: -6x + -7x = -13x -26 + -13x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 -26 + -13x = 10 + 0 -26 + -13x = 10 Add '26' to each side of the equation. -26 + 26 + -13x = 10 + 26 Combine like terms: -26 + 26 = 0 0 + -13x = 10 + 26 -13x = 10 + 26 Combine like terms: 10 + 26 = 36 -13x = 36 Divide each side by '-13'. x = -2.769230769 Simplifying x = -2.769230769
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