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Simplifying 4 + -0.5(x + 1) = 6.2 + -0.8x Reorder the terms: 4 + -0.5(1 + x) = 6.2 + -0.8x 4 + (1 * -0.5 + x * -0.5) = 6.2 + -0.8x 4 + (-0.5 + -0.5x) = 6.2 + -0.8x Combine like terms: 4 + -0.5 = 3.5 3.5 + -0.5x = 6.2 + -0.8x Solving 3.5 + -0.5x = 6.2 + -0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.8x' to each side of the equation. 3.5 + -0.5x + 0.8x = 6.2 + -0.8x + 0.8x Combine like terms: -0.5x + 0.8x = 0.3x 3.5 + 0.3x = 6.2 + -0.8x + 0.8x Combine like terms: -0.8x + 0.8x = 0.0 3.5 + 0.3x = 6.2 + 0.0 3.5 + 0.3x = 6.2 Add '-3.5' to each side of the equation. 3.5 + -3.5 + 0.3x = 6.2 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 0.3x = 6.2 + -3.5 0.3x = 6.2 + -3.5 Combine like terms: 6.2 + -3.5 = 2.7 0.3x = 2.7 Divide each side by '0.3'. x = 9 Simplifying x = 9
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