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Simplifying -5x + -38(x + 3) = 6(7x + 4) Reorder the terms: -5x + -38(3 + x) = 6(7x + 4) -5x + (3 * -38 + x * -38) = 6(7x + 4) -5x + (-114 + -38x) = 6(7x + 4) Reorder the terms: -114 + -5x + -38x = 6(7x + 4) Combine like terms: -5x + -38x = -43x -114 + -43x = 6(7x + 4) Reorder the terms: -114 + -43x = 6(4 + 7x) -114 + -43x = (4 * 6 + 7x * 6) -114 + -43x = (24 + 42x) Solving -114 + -43x = 24 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -114 + -43x + -42x = 24 + 42x + -42x Combine like terms: -43x + -42x = -85x -114 + -85x = 24 + 42x + -42x Combine like terms: 42x + -42x = 0 -114 + -85x = 24 + 0 -114 + -85x = 24 Add '114' to each side of the equation. -114 + 114 + -85x = 24 + 114 Combine like terms: -114 + 114 = 0 0 + -85x = 24 + 114 -85x = 24 + 114 Combine like terms: 24 + 114 = 138 -85x = 138 Divide each side by '-85'. x = -1.623529412 Simplifying x = -1.623529412
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