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Simplifying -4(x + 5) + 6 = 6(x + 3) + 2 Reorder the terms: -4(5 + x) + 6 = 6(x + 3) + 2 (5 * -4 + x * -4) + 6 = 6(x + 3) + 2 (-20 + -4x) + 6 = 6(x + 3) + 2 Reorder the terms: -20 + 6 + -4x = 6(x + 3) + 2 Combine like terms: -20 + 6 = -14 -14 + -4x = 6(x + 3) + 2 Reorder the terms: -14 + -4x = 6(3 + x) + 2 -14 + -4x = (3 * 6 + x * 6) + 2 -14 + -4x = (18 + 6x) + 2 Reorder the terms: -14 + -4x = 18 + 2 + 6x Combine like terms: 18 + 2 = 20 -14 + -4x = 20 + 6x Solving -14 + -4x = 20 + 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. -14 + -4x + -6x = 20 + 6x + -6x Combine like terms: -4x + -6x = -10x -14 + -10x = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + -10x = 20 + 0 -14 + -10x = 20 Add '14' to each side of the equation. -14 + 14 + -10x = 20 + 14 Combine like terms: -14 + 14 = 0 0 + -10x = 20 + 14 -10x = 20 + 14 Combine like terms: 20 + 14 = 34 -10x = 34 Divide each side by '-10'. x = -3.4 Simplifying x = -3.4
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