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Simplifying -2(x + 4) + 3 = 6(x + 2) + 5 Reorder the terms: -2(4 + x) + 3 = 6(x + 2) + 5 (4 * -2 + x * -2) + 3 = 6(x + 2) + 5 (-8 + -2x) + 3 = 6(x + 2) + 5 Reorder the terms: -8 + 3 + -2x = 6(x + 2) + 5 Combine like terms: -8 + 3 = -5 -5 + -2x = 6(x + 2) + 5 Reorder the terms: -5 + -2x = 6(2 + x) + 5 -5 + -2x = (2 * 6 + x * 6) + 5 -5 + -2x = (12 + 6x) + 5 Reorder the terms: -5 + -2x = 12 + 5 + 6x Combine like terms: 12 + 5 = 17 -5 + -2x = 17 + 6x Solving -5 + -2x = 17 + 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. -5 + -2x + -6x = 17 + 6x + -6x Combine like terms: -2x + -6x = -8x -5 + -8x = 17 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -8x = 17 + 0 -5 + -8x = 17 Add '5' to each side of the equation. -5 + 5 + -8x = 17 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = 17 + 5 -8x = 17 + 5 Combine like terms: 17 + 5 = 22 -8x = 22 Divide each side by '-8'. x = -2.75 Simplifying x = -2.75
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