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Simplifying -2(x + 3) + 4 = 6(x + 2) + 7 Reorder the terms: -2(3 + x) + 4 = 6(x + 2) + 7 (3 * -2 + x * -2) + 4 = 6(x + 2) + 7 (-6 + -2x) + 4 = 6(x + 2) + 7 Reorder the terms: -6 + 4 + -2x = 6(x + 2) + 7 Combine like terms: -6 + 4 = -2 -2 + -2x = 6(x + 2) + 7 Reorder the terms: -2 + -2x = 6(2 + x) + 7 -2 + -2x = (2 * 6 + x * 6) + 7 -2 + -2x = (12 + 6x) + 7 Reorder the terms: -2 + -2x = 12 + 7 + 6x Combine like terms: 12 + 7 = 19 -2 + -2x = 19 + 6x Solving -2 + -2x = 19 + 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. -2 + -2x + -6x = 19 + 6x + -6x Combine like terms: -2x + -6x = -8x -2 + -8x = 19 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -8x = 19 + 0 -2 + -8x = 19 Add '2' to each side of the equation. -2 + 2 + -8x = 19 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = 19 + 2 -8x = 19 + 2 Combine like terms: 19 + 2 = 21 -8x = 21 Divide each side by '-8'. x = -2.625 Simplifying x = -2.625
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