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Simplifying 0.5(x + 2) + 2x = 6x + -10 Reorder the terms: 0.5(2 + x) + 2x = 6x + -10 (2 * 0.5 + x * 0.5) + 2x = 6x + -10 (1 + 0.5x) + 2x = 6x + -10 Combine like terms: 0.5x + 2x = 2.5x 1 + 2.5x = 6x + -10 Reorder the terms: 1 + 2.5x = -10 + 6x Solving 1 + 2.5x = -10 + 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. 1 + 2.5x + -6x = -10 + 6x + -6x Combine like terms: 2.5x + -6x = -3.5x 1 + -3.5x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + -3.5x = -10 + 0 1 + -3.5x = -10 Add '-1' to each side of the equation. 1 + -1 + -3.5x = -10 + -1 Combine like terms: 1 + -1 = 0 0 + -3.5x = -10 + -1 -3.5x = -10 + -1 Combine like terms: -10 + -1 = -11 -3.5x = -11 Divide each side by '-3.5'. x = 3.142857143 Simplifying x = 3.142857143
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