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Simplifying 6 + 0.3(x + -7) = 0.5(2 + -1x) Reorder the terms: 6 + 0.3(-7 + x) = 0.5(2 + -1x) 6 + (-7 * 0.3 + x * 0.3) = 0.5(2 + -1x) 6 + (-2.1 + 0.3x) = 0.5(2 + -1x) Combine like terms: 6 + -2.1 = 3.9 3.9 + 0.3x = 0.5(2 + -1x) 3.9 + 0.3x = (2 * 0.5 + -1x * 0.5) 3.9 + 0.3x = (1 + -0.5x) Solving 3.9 + 0.3x = 1 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. 3.9 + 0.3x + 0.5x = 1 + -0.5x + 0.5x Combine like terms: 0.3x + 0.5x = 0.8x 3.9 + 0.8x = 1 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 3.9 + 0.8x = 1 + 0.0 3.9 + 0.8x = 1 Add '-3.9' to each side of the equation. 3.9 + -3.9 + 0.8x = 1 + -3.9 Combine like terms: 3.9 + -3.9 = 0.0 0.0 + 0.8x = 1 + -3.9 0.8x = 1 + -3.9 Combine like terms: 1 + -3.9 = -2.9 0.8x = -2.9 Divide each side by '0.8'. x = -3.625 Simplifying x = -3.625
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