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