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Simplifying -2(x + 3) + 5 = 6(x + 2) + 4 Reorder the terms: -2(3 + x) + 5 = 6(x + 2) + 4 (3 * -2 + x * -2) + 5 = 6(x + 2) + 4 (-6 + -2x) + 5 = 6(x + 2) + 4 Reorder the terms: -6 + 5 + -2x = 6(x + 2) + 4 Combine like terms: -6 + 5 = -1 -1 + -2x = 6(x + 2) + 4 Reorder the terms: -1 + -2x = 6(2 + x) + 4 -1 + -2x = (2 * 6 + x * 6) + 4 -1 + -2x = (12 + 6x) + 4 Reorder the terms: -1 + -2x = 12 + 4 + 6x Combine like terms: 12 + 4 = 16 -1 + -2x = 16 + 6x Solving -1 + -2x = 16 + 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 = 16 + 6x + -6x Combine like terms: -2x + -6x = -8x -1 + -8x = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + -8x = 16 + 0 -1 + -8x = 16 Add '1' to each side of the equation. -1 + 1 + -8x = 16 + 1 Combine like terms: -1 + 1 = 0 0 + -8x = 16 + 1 -8x = 16 + 1 Combine like terms: 16 + 1 = 17 -8x = 17 Divide each side by '-8'. x = -2.125 Simplifying x = -2.125
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