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Simplifying 0.5x + -0.1(18 + -5x) = -0.3(x + -7) 0.5x + (18 * -0.1 + -5x * -0.1) = -0.3(x + -7) 0.5x + (-1.8 + 0.5x) = -0.3(x + -7) Reorder the terms: -1.8 + 0.5x + 0.5x = -0.3(x + -7) Combine like terms: 0.5x + 0.5x = 1x -1.8 + 1x = -0.3(x + -7) Reorder the terms: -1.8 + 1x = -0.3(-7 + x) -1.8 + 1x = (-7 * -0.3 + x * -0.3) -1.8 + 1x = (2.1 + -0.3x) Solving -1.8 + 1x = 2.1 + -0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3x' to each side of the equation. -1.8 + 1x + 0.3x = 2.1 + -0.3x + 0.3x Combine like terms: 1x + 0.3x = 1.3x -1.8 + 1.3x = 2.1 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 -1.8 + 1.3x = 2.1 + 0.0 -1.8 + 1.3x = 2.1 Add '1.8' to each side of the equation. -1.8 + 1.8 + 1.3x = 2.1 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 1.3x = 2.1 + 1.8 1.3x = 2.1 + 1.8 Combine like terms: 2.1 + 1.8 = 3.9 1.3x = 3.9 Divide each side by '1.3'. x = 3 Simplifying x = 3
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