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Simplifying -4(x + 2) + 3 = 6(x + 5) + 9 Reorder the terms: -4(2 + x) + 3 = 6(x + 5) + 9 (2 * -4 + x * -4) + 3 = 6(x + 5) + 9 (-8 + -4x) + 3 = 6(x + 5) + 9 Reorder the terms: -8 + 3 + -4x = 6(x + 5) + 9 Combine like terms: -8 + 3 = -5 -5 + -4x = 6(x + 5) + 9 Reorder the terms: -5 + -4x = 6(5 + x) + 9 -5 + -4x = (5 * 6 + x * 6) + 9 -5 + -4x = (30 + 6x) + 9 Reorder the terms: -5 + -4x = 30 + 9 + 6x Combine like terms: 30 + 9 = 39 -5 + -4x = 39 + 6x Solving -5 + -4x = 39 + 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 + -4x + -6x = 39 + 6x + -6x Combine like terms: -4x + -6x = -10x -5 + -10x = 39 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -10x = 39 + 0 -5 + -10x = 39 Add '5' to each side of the equation. -5 + 5 + -10x = 39 + 5 Combine like terms: -5 + 5 = 0 0 + -10x = 39 + 5 -10x = 39 + 5 Combine like terms: 39 + 5 = 44 -10x = 44 Divide each side by '-10'. x = -4.4 Simplifying x = -4.4
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