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Simplifying 0.5(x + -6) + 1 = 2(a + -10) + -3 Reorder the terms: 0.5(-6 + x) + 1 = 2(a + -10) + -3 (-6 * 0.5 + x * 0.5) + 1 = 2(a + -10) + -3 (-3 + 0.5x) + 1 = 2(a + -10) + -3 Reorder the terms: -3 + 1 + 0.5x = 2(a + -10) + -3 Combine like terms: -3 + 1 = -2 -2 + 0.5x = 2(a + -10) + -3 Reorder the terms: -2 + 0.5x = 2(-10 + a) + -3 -2 + 0.5x = (-10 * 2 + a * 2) + -3 -2 + 0.5x = (-20 + 2a) + -3 Reorder the terms: -2 + 0.5x = -20 + -3 + 2a Combine like terms: -20 + -3 = -23 -2 + 0.5x = -23 + 2a Solving -2 + 0.5x = -23 + 2a Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 0.5x = -23 + 2 + 2a Combine like terms: -2 + 2 = 0 0 + 0.5x = -23 + 2 + 2a 0.5x = -23 + 2 + 2a Combine like terms: -23 + 2 = -21 0.5x = -21 + 2a Divide each side by '0.5'. x = -42 + 4a Simplifying x = -42 + 4a
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