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Simplifying 0.5(4x + 6) + -7 = -1(5x + 9) Reorder the terms: 0.5(6 + 4x) + -7 = -1(5x + 9) (6 * 0.5 + 4x * 0.5) + -7 = -1(5x + 9) (3 + 2x) + -7 = -1(5x + 9) Reorder the terms: 3 + -7 + 2x = -1(5x + 9) Combine like terms: 3 + -7 = -4 -4 + 2x = -1(5x + 9) Reorder the terms: -4 + 2x = -1(9 + 5x) -4 + 2x = (9 * -1 + 5x * -1) -4 + 2x = (-9 + -5x) Solving -4 + 2x = -9 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -4 + 2x + 5x = -9 + -5x + 5x Combine like terms: 2x + 5x = 7x -4 + 7x = -9 + -5x + 5x Combine like terms: -5x + 5x = 0 -4 + 7x = -9 + 0 -4 + 7x = -9 Add '4' to each side of the equation. -4 + 4 + 7x = -9 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = -9 + 4 7x = -9 + 4 Combine like terms: -9 + 4 = -5 7x = -5 Divide each side by '7'. x = -0.7142857143 Simplifying x = -0.7142857143
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