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Simplifying -2(x + 3) + 5 = 6(x + 4) + 2 Reorder the terms: -2(3 + x) + 5 = 6(x + 4) + 2 (3 * -2 + x * -2) + 5 = 6(x + 4) + 2 (-6 + -2x) + 5 = 6(x + 4) + 2 Reorder the terms: -6 + 5 + -2x = 6(x + 4) + 2 Combine like terms: -6 + 5 = -1 -1 + -2x = 6(x + 4) + 2 Reorder the terms: -1 + -2x = 6(4 + x) + 2 -1 + -2x = (4 * 6 + x * 6) + 2 -1 + -2x = (24 + 6x) + 2 Reorder the terms: -1 + -2x = 24 + 2 + 6x Combine like terms: 24 + 2 = 26 -1 + -2x = 26 + 6x Solving -1 + -2x = 26 + 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. -1 + -2x + -6x = 26 + 6x + -6x Combine like terms: -2x + -6x = -8x -1 + -8x = 26 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + -8x = 26 + 0 -1 + -8x = 26 Add '1' to each side of the equation. -1 + 1 + -8x = 26 + 1 Combine like terms: -1 + 1 = 0 0 + -8x = 26 + 1 -8x = 26 + 1 Combine like terms: 26 + 1 = 27 -8x = 27 Divide each side by '-8'. x = -3.375 Simplifying x = -3.375
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