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Simplifying -6(x + 3) + 4x + 7 = 6x + 8 Reorder the terms: -6(3 + x) + 4x + 7 = 6x + 8 (3 * -6 + x * -6) + 4x + 7 = 6x + 8 (-18 + -6x) + 4x + 7 = 6x + 8 Reorder the terms: -18 + 7 + -6x + 4x = 6x + 8 Combine like terms: -18 + 7 = -11 -11 + -6x + 4x = 6x + 8 Combine like terms: -6x + 4x = -2x -11 + -2x = 6x + 8 Reorder the terms: -11 + -2x = 8 + 6x Solving -11 + -2x = 8 + 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. -11 + -2x + -6x = 8 + 6x + -6x Combine like terms: -2x + -6x = -8x -11 + -8x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -11 + -8x = 8 + 0 -11 + -8x = 8 Add '11' to each side of the equation. -11 + 11 + -8x = 8 + 11 Combine like terms: -11 + 11 = 0 0 + -8x = 8 + 11 -8x = 8 + 11 Combine like terms: 8 + 11 = 19 -8x = 19 Divide each side by '-8'. x = -2.375 Simplifying x = -2.375
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