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Simplifying -8(x + 3) + 3x + 6 = 6x + 7 Reorder the terms: -8(3 + x) + 3x + 6 = 6x + 7 (3 * -8 + x * -8) + 3x + 6 = 6x + 7 (-24 + -8x) + 3x + 6 = 6x + 7 Reorder the terms: -24 + 6 + -8x + 3x = 6x + 7 Combine like terms: -24 + 6 = -18 -18 + -8x + 3x = 6x + 7 Combine like terms: -8x + 3x = -5x -18 + -5x = 6x + 7 Reorder the terms: -18 + -5x = 7 + 6x Solving -18 + -5x = 7 + 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. -18 + -5x + -6x = 7 + 6x + -6x Combine like terms: -5x + -6x = -11x -18 + -11x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + -11x = 7 + 0 -18 + -11x = 7 Add '18' to each side of the equation. -18 + 18 + -11x = 7 + 18 Combine like terms: -18 + 18 = 0 0 + -11x = 7 + 18 -11x = 7 + 18 Combine like terms: 7 + 18 = 25 -11x = 25 Divide each side by '-11'. x = -2.272727273 Simplifying x = -2.272727273
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