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Simplifying -4(x + 5) + 3 = 6(x + 2) + 9 Reorder the terms: -4(5 + x) + 3 = 6(x + 2) + 9 (5 * -4 + x * -4) + 3 = 6(x + 2) + 9 (-20 + -4x) + 3 = 6(x + 2) + 9 Reorder the terms: -20 + 3 + -4x = 6(x + 2) + 9 Combine like terms: -20 + 3 = -17 -17 + -4x = 6(x + 2) + 9 Reorder the terms: -17 + -4x = 6(2 + x) + 9 -17 + -4x = (2 * 6 + x * 6) + 9 -17 + -4x = (12 + 6x) + 9 Reorder the terms: -17 + -4x = 12 + 9 + 6x Combine like terms: 12 + 9 = 21 -17 + -4x = 21 + 6x Solving -17 + -4x = 21 + 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. -17 + -4x + -6x = 21 + 6x + -6x Combine like terms: -4x + -6x = -10x -17 + -10x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 -17 + -10x = 21 + 0 -17 + -10x = 21 Add '17' to each side of the equation. -17 + 17 + -10x = 21 + 17 Combine like terms: -17 + 17 = 0 0 + -10x = 21 + 17 -10x = 21 + 17 Combine like terms: 21 + 17 = 38 -10x = 38 Divide each side by '-10'. x = -3.8 Simplifying x = -3.8
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